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Finding the Third Proportional to 41,638 and 60,189

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Solution

The third proportional to 41,638 and 60,189 is: 87,005.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,638 : 60,189 = 60,189 : x
  2. Step 2: Convert to fraction form
    41,638/60,189 = 60,189/x
  3. Step 3: Cross multiply
    41,638x = 60,189 × 60,189
  4. Step 4: Simplify right side
    41,638x = 3,622,715,721
  5. Step 5: Solve for x
    x = 3,622,715,721/41,638
  6. Step 6: Final answer
    x = 87,005.04

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.