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Finding the Third Proportional to 41,691 and 62,895

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Solution

The third proportional to 41,691 and 62,895 is: 94,883.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,691 : 62,895 = 62,895 : x
  2. Step 2: Convert to fraction form
    41,691/62,895 = 62,895/x
  3. Step 3: Cross multiply
    41,691x = 62,895 × 62,895
  4. Step 4: Simplify right side
    41,691x = 3,955,781,025
  5. Step 5: Solve for x
    x = 3,955,781,025/41,691
  6. Step 6: Final answer
    x = 94,883.33

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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.