Big Stack vs big stack w/3 left

[Shorty35]

This hand is eating at me, and despite reassurances from several 2+2ers, im still not sure I made the right move.

Live tourney at Palms $200+1 $200 rebuy. 3 left.

blinds at 2K, 4K with 500 ante. I am big stack in SB with 80K, BB villan has 70K, button is short with approx 25K.

BB seems normal solid aggressive, although we have only been together for a short period mostly in push or fold mode until we each took some players out with big hands on the last orbit. Short stack is looking to survive and "needs the money" an exact quote.

payouts (this is the key)
1st: just over 13K
2nd:just over 6K
3rd: just over 3K

button folds. I raise 20K with 88. BB thinks for about one minute and reraises all in.

What do you guys think is the right action?