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Finding the Third Proportional to 41,105 and 61,663

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Solution

The third proportional to 41,105 and 61,663 is: 92,502.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,105 : 61,663 = 61,663 : x
  2. Step 2: Convert to fraction form
    41,105/61,663 = 61,663/x
  3. Step 3: Cross multiply
    41,105x = 61,663 × 61,663
  4. Step 4: Simplify right side
    41,105x = 3,802,325,569
  5. Step 5: Solve for x
    x = 3,802,325,569/41,105
  6. Step 6: Final answer
    x = 92,502.75

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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.