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Finding the Third Proportional to 41,240 and 66,398

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Solution

The third proportional to 41,240 and 66,398 is: 106,903.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,240 : 66,398 = 66,398 : x
  2. Step 2: Convert to fraction form
    41,240/66,398 = 66,398/x
  3. Step 3: Cross multiply
    41,240x = 66,398 × 66,398
  4. Step 4: Simplify right side
    41,240x = 4,408,694,404
  5. Step 5: Solve for x
    x = 4,408,694,404/41,240
  6. Step 6: Final answer
    x = 106,903.36

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.