Astle, who has recovered from a knee injury which forced him out of New Zealand's series against Pakistan in November, is also a capable lower order batsman in a side struggling for runs.
India reached their target with seven overs to spare with Rohit Sharma top scoring with 62, while captain Virat Kohli, playing in his last game of the series, made 60. But it isn't just their ability to regularly take wickets that makes them such a threat in ODIs - they are also hard to score against during the middle overs.
"India have put us under pressure for long periods of time and got wickets at crucial times and in New Zealand if you're three or four down and there's still 25 overs to go you're still a long way behind the game and we fought hard today but it just wasn't good enough".
The part-time spinner was cited for a suspect action after the first ODI against Australia two weeks ago. The two had the Black Caps poised for a defendable score until Latham holed out on 51.
Sharma's first wicket partnership of 39 ended when Shikhar Dhawan edged Trent Boult to the lone slip Taylor to be gone for 28.
On Monday, with India leading 2-0 in the five-match ODI rubber against the Kiwis, the talismanic stumper was once again troubled by his hamstring, which provided the men-in-blue with an opportunity to test out Dinesh Karthik behind the stumps.More news: Mulvaney: Trump will secure the border "with or without Congress"
Kohli, who averages a century every 5.6 innings, was due a big knock in New Zealand after posting 45 and 43 earlier in the series, but his attempt to drive Boult to the cover boundary was well caught by a leaping Henry Nicholls. Pandya took a remarkable catch to dismiss New Zealand skipper Kane Williamson in 17 over off Yuzvendra Chahal's ball.
Mohammed Shami had earlier taken three for 41 while Bhuvneshwar Kumar, Hardik Pandya and Yuzvendra Chahal took two wickets apiece as India shared around the bowling honours in the New Zealand innings.
The best New Zealand partnership of the series so far - 119 between Taylor and Tom Latham - proved a false dawn.
Taylor fell seven runs short of a century on 93 and Latham hit 51 but India took the remaining seven wickets for just 65 runs.
Hamilton hosts the fourth game in the series on Thursday.