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Finding the Third Proportional to 39,849 and 54,147

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Solution

The third proportional to 39,849 and 54,147 is: 73,575.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,849 : 54,147 = 54,147 : x
  2. Step 2: Convert to fraction form
    39,849/54,147 = 54,147/x
  3. Step 3: Cross multiply
    39,849x = 54,147 × 54,147
  4. Step 4: Simplify right side
    39,849x = 2,931,897,609
  5. Step 5: Solve for x
    x = 2,931,897,609/39,849
  6. Step 6: Final answer
    x = 73,575.19

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.