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Finding the Third Proportional to 39,202 and 58,891

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Solution

The third proportional to 39,202 and 58,891 is: 88,468.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,202 : 58,891 = 58,891 : x
  2. Step 2: Convert to fraction form
    39,202/58,891 = 58,891/x
  3. Step 3: Cross multiply
    39,202x = 58,891 × 58,891
  4. Step 4: Simplify right side
    39,202x = 3,468,149,881
  5. Step 5: Solve for x
    x = 3,468,149,881/39,202
  6. Step 6: Final answer
    x = 88,468.70

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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.