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Finding the Third Proportional to 39,206 and 58,897

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Solution

The third proportional to 39,206 and 58,897 is: 88,477.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,206 : 58,897 = 58,897 : x
  2. Step 2: Convert to fraction form
    39,206/58,897 = 58,897/x
  3. Step 3: Cross multiply
    39,206x = 58,897 × 58,897
  4. Step 4: Simplify right side
    39,206x = 3,468,856,609
  5. Step 5: Solve for x
    x = 3,468,856,609/39,206
  6. Step 6: Final answer
    x = 88,477.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.