Answer: The player need to make 2 consecutive free throws to raise the average to 75%.
Step-by-step explanation:
Let the number of extra consecutive free throws to raise the average to 75% be 'x'.
Number of free throws already taken = 32
Number of attempts = 45
According to question, it becomes,
[tex]\dfrac{32+x}{45}=0.75\\32+x=45\times 0.75\\\\32+x=33.75\\\\x=33.75-32\\\\x=1.75[/tex]
Hence, the player need to make 2 consecutive free throws to raise the average to 75%.