Finding the Third Proportional to 31,792 and 50,432
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Solution
The third proportional to 31,792 and 50,432 is: 80,000.84
Step by Step Solution
- Step 1: Write the proportion equation
31,792 : 50,432 = 50,432 : x - Step 2: Convert to fraction form
31,792/50,432 = 50,432/x - Step 3: Cross multiply
31,792x = 50,432 × 50,432 - Step 4: Simplify right side
31,792x = 2,543,386,624 - Step 5: Solve for x
x = 2,543,386,624/31,792 - Step 6: Final answer
x = 80,000.84
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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.