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Finding the Third Proportional to 41,137 and 61,597

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Solution

The third proportional to 41,137 and 61,597 is: 92,233.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,137 : 61,597 = 61,597 : x
  2. Step 2: Convert to fraction form
    41,137/61,597 = 61,597/x
  3. Step 3: Cross multiply
    41,137x = 61,597 × 61,597
  4. Step 4: Simplify right side
    41,137x = 3,794,190,409
  5. Step 5: Solve for x
    x = 3,794,190,409/41,137
  6. Step 6: Final answer
    x = 92,233.04

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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.