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Finding the Third Proportional to 47,934 and 72,569

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Solution

The third proportional to 47,934 and 72,569 is: 109,864.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,934 : 72,569 = 72,569 : x
  2. Step 2: Convert to fraction form
    47,934/72,569 = 72,569/x
  3. Step 3: Cross multiply
    47,934x = 72,569 × 72,569
  4. Step 4: Simplify right side
    47,934x = 5,266,259,761
  5. Step 5: Solve for x
    x = 5,266,259,761/47,934
  6. Step 6: Final answer
    x = 109,864.81

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.