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Finding the Third Proportional to 29,042 and 62,398

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Solution

The third proportional to 29,042 and 62,398 is: 134,064.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,042 : 62,398 = 62,398 : x
  2. Step 2: Convert to fraction form
    29,042/62,398 = 62,398/x
  3. Step 3: Cross multiply
    29,042x = 62,398 × 62,398
  4. Step 4: Simplify right side
    29,042x = 3,893,510,404
  5. Step 5: Solve for x
    x = 3,893,510,404/29,042
  6. Step 6: Final answer
    x = 134,064.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.