Finding the Third Proportional to 31,632 and 47,376
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Solution
The third proportional to 31,632 and 47,376 is: 70,956.16
Step by Step Solution
- Step 1: Write the proportion equation
31,632 : 47,376 = 47,376 : x - Step 2: Convert to fraction form
31,632/47,376 = 47,376/x - Step 3: Cross multiply
31,632x = 47,376 × 47,376 - Step 4: Simplify right side
31,632x = 2,244,485,376 - Step 5: Solve for x
x = 2,244,485,376/31,632 - Step 6: Final answer
x = 70,956.16
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.