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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

  1. Step 1: Write the proportion equation
    31,632 : 47,376 = 47,376 : x
  2. Step 2: Convert to fraction form
    31,632/47,376 = 47,376/x
  3. Step 3: Cross multiply
    31,632x = 47,376 × 47,376
  4. Step 4: Simplify right side
    31,632x = 2,244,485,376
  5. Step 5: Solve for x
    x = 2,244,485,376/31,632
  6. 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.