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Finding the Third Proportional to 31,732 and 47,550

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Solution

The third proportional to 31,732 and 47,550 is: 71,253.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,732 : 47,550 = 47,550 : x
  2. Step 2: Convert to fraction form
    31,732/47,550 = 47,550/x
  3. Step 3: Cross multiply
    31,732x = 47,550 × 47,550
  4. Step 4: Simplify right side
    31,732x = 2,261,002,500
  5. Step 5: Solve for x
    x = 2,261,002,500/31,732
  6. Step 6: Final answer
    x = 71,253.07

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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.