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Finding the Third Proportional to 22,881 and 36,542

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Solution

The third proportional to 22,881 and 36,542 is: 58,359.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,881 : 36,542 = 36,542 : x
  2. Step 2: Convert to fraction form
    22,881/36,542 = 36,542/x
  3. Step 3: Cross multiply
    22,881x = 36,542 × 36,542
  4. Step 4: Simplify right side
    22,881x = 1,335,317,764
  5. Step 5: Solve for x
    x = 1,335,317,764/22,881
  6. Step 6: Final answer
    x = 58,359.24

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.