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Finding the Third Proportional to 29,638 and 41,687

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Solution

The third proportional to 29,638 and 41,687 is: 58,634.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,638 : 41,687 = 41,687 : x
  2. Step 2: Convert to fraction form
    29,638/41,687 = 41,687/x
  3. Step 3: Cross multiply
    29,638x = 41,687 × 41,687
  4. Step 4: Simplify right side
    29,638x = 1,737,805,969
  5. Step 5: Solve for x
    x = 1,737,805,969/29,638
  6. Step 6: Final answer
    x = 58,634.39

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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.