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Finding the Third Proportional to 13,542 and 29,757

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Solution

The third proportional to 13,542 and 29,757 is: 65,387.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,542 : 29,757 = 29,757 : x
  2. Step 2: Convert to fraction form
    13,542/29,757 = 29,757/x
  3. Step 3: Cross multiply
    13,542x = 29,757 × 29,757
  4. Step 4: Simplify right side
    13,542x = 885,479,049
  5. Step 5: Solve for x
    x = 885,479,049/13,542
  6. Step 6: Final answer
    x = 65,387.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.