Finding the Third Proportional to 31,328 and 65,732
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Solution
The third proportional to 31,328 and 65,732 is: 137,918.02
Step by Step Solution
- Step 1: Write the proportion equation
31,328 : 65,732 = 65,732 : x - Step 2: Convert to fraction form
31,328/65,732 = 65,732/x - Step 3: Cross multiply
31,328x = 65,732 × 65,732 - Step 4: Simplify right side
31,328x = 4,320,695,824 - Step 5: Solve for x
x = 4,320,695,824/31,328 - Step 6: Final answer
x = 137,918.02
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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.