Step 1 :Number of basketball players = 12
Step 2 :Number of football players = 36
Step 3 :Ratio of basketball players to football players = 12/36
Step 4 :Simplify the ratio by dividing both numerator and denominator by their greatest common divisor, which is 12
Step 5 :Ratio of basketball players to football players = 1/3
Step 6 :\(\boxed{1:3}\)