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Finding the Third Proportional to 29,344 and 61,592

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Solution

The third proportional to 29,344 and 61,592 is: 129,279.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,344 : 61,592 = 61,592 : x
  2. Step 2: Convert to fraction form
    29,344/61,592 = 61,592/x
  3. Step 3: Cross multiply
    29,344x = 61,592 × 61,592
  4. Step 4: Simplify right side
    29,344x = 3,793,574,464
  5. Step 5: Solve for x
    x = 3,793,574,464/29,344
  6. Step 6: Final answer
    x = 129,279.39

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.