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Finding the Third Proportional to 22,631 and 29,761

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Solution

The third proportional to 22,631 and 29,761 is: 39,137.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,631 : 29,761 = 29,761 : x
  2. Step 2: Convert to fraction form
    22,631/29,761 = 29,761/x
  3. Step 3: Cross multiply
    22,631x = 29,761 × 29,761
  4. Step 4: Simplify right side
    22,631x = 885,717,121
  5. Step 5: Solve for x
    x = 885,717,121/22,631
  6. Step 6: Final answer
    x = 39,137.34

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.