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Finding the Third Proportional to 39,001 and 58,853

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Solution

The third proportional to 39,001 and 58,853 is: 88,809.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,001 : 58,853 = 58,853 : x
  2. Step 2: Convert to fraction form
    39,001/58,853 = 58,853/x
  3. Step 3: Cross multiply
    39,001x = 58,853 × 58,853
  4. Step 4: Simplify right side
    39,001x = 3,463,675,609
  5. Step 5: Solve for x
    x = 3,463,675,609/39,001
  6. Step 6: Final answer
    x = 88,809.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.