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Finding the Third Proportional to 38,001 and 53,949

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Solution

The third proportional to 38,001 and 53,949 is: 76,589.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,001 : 53,949 = 53,949 : x
  2. Step 2: Convert to fraction form
    38,001/53,949 = 53,949/x
  3. Step 3: Cross multiply
    38,001x = 53,949 × 53,949
  4. Step 4: Simplify right side
    38,001x = 2,910,494,601
  5. Step 5: Solve for x
    x = 2,910,494,601/38,001
  6. Step 6: Final answer
    x = 76,589.95

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.