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Finding the Third Proportional to 24,802 and 36,725

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Solution

The third proportional to 24,802 and 36,725 is: 54,379.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,802 : 36,725 = 36,725 : x
  2. Step 2: Convert to fraction form
    24,802/36,725 = 36,725/x
  3. Step 3: Cross multiply
    24,802x = 36,725 × 36,725
  4. Step 4: Simplify right side
    24,802x = 1,348,725,625
  5. Step 5: Solve for x
    x = 1,348,725,625/24,802
  6. Step 6: Final answer
    x = 54,379.71

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.