How many  first base men and third base men  in both leauges hit over
25 home runs in 2003

Hello

16 total.

10 First Basemen and 6 Third Basemen


First Base

Jim Thome 47
Richie Sexson 45
Carlos Delgado 42
Jason Giambi 41
Jeff Bagwell 39
Rafael Palmeiro 38
Todd Helton 33
Derek Lee 31
David Ortiz 31
Mark Teixeira 26


Third Base

Mike Lowell 32
Hank Blalock 29
Eric Chavez 29
Scott Rolen 28
Aramis Ramirez 27
Tony Batista 26

sources:
ESPN  2003 Home Run Leaders
http://sports.espn.go.com/mlbhist/alltime/leaders?sort=8&breakdown=0&year=2003
Final 2003 MLB season statistics - First Base
http://www.sportfanatics.net/Baseball/Player_Rankings_First_Base.htm
Final 2003 MLB season statistics - Third Base
http://www.sportfanatics.net/Baseball/Player_Rankings_Third_Base.htm

Just a couple notes...
Alex Rodriguez has played Third Base this year, but was a shortstop
last year, so he's not included above.
Similarly, Albert Pujols has played First Base this year, but was an
outfielder last year, so he's not include above.
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search strategy:
"home run leaders" 2003 
"first base" "2003 mlb" "home runs"

Thanks.