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Finding the Third Proportional to 22,529 and 31,691

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Solution

The third proportional to 22,529 and 31,691 is: 44,578.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,529 : 31,691 = 31,691 : x
  2. Step 2: Convert to fraction form
    22,529/31,691 = 31,691/x
  3. Step 3: Cross multiply
    22,529x = 31,691 × 31,691
  4. Step 4: Simplify right side
    22,529x = 1,004,319,481
  5. Step 5: Solve for x
    x = 1,004,319,481/22,529
  6. Step 6: Final answer
    x = 44,578.96

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.