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Finding the Third Proportional to 41,198 and 62,587

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Solution

The third proportional to 41,198 and 62,587 is: 95,080.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,198 : 62,587 = 62,587 : x
  2. Step 2: Convert to fraction form
    41,198/62,587 = 62,587/x
  3. Step 3: Cross multiply
    41,198x = 62,587 × 62,587
  4. Step 4: Simplify right side
    41,198x = 3,917,132,569
  5. Step 5: Solve for x
    x = 3,917,132,569/41,198
  6. Step 6: Final answer
    x = 95,080.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.