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Finding the Third Proportional to 24,725 and 39,311

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Solution

The third proportional to 24,725 and 39,311 is: 62,501.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,725 : 39,311 = 39,311 : x
  2. Step 2: Convert to fraction form
    24,725/39,311 = 39,311/x
  3. Step 3: Cross multiply
    24,725x = 39,311 × 39,311
  4. Step 4: Simplify right side
    24,725x = 1,545,354,721
  5. Step 5: Solve for x
    x = 1,545,354,721/24,725
  6. Step 6: Final answer
    x = 62,501.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.