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Finding the Third Proportional to 41,150 and 61,622

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Solution

The third proportional to 41,150 and 61,622 is: 92,278.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,150 : 61,622 = 61,622 : x
  2. Step 2: Convert to fraction form
    41,150/61,622 = 61,622/x
  3. Step 3: Cross multiply
    41,150x = 61,622 × 61,622
  4. Step 4: Simplify right side
    41,150x = 3,797,270,884
  5. Step 5: Solve for x
    x = 3,797,270,884/41,150
  6. Step 6: Final answer
    x = 92,278.76

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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.