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Finding the Third Proportional to 49,771 and 74,474

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Solution

The third proportional to 49,771 and 74,474 is: 111,437.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,771 : 74,474 = 74,474 : x
  2. Step 2: Convert to fraction form
    49,771/74,474 = 74,474/x
  3. Step 3: Cross multiply
    49,771x = 74,474 × 74,474
  4. Step 4: Simplify right side
    49,771x = 5,546,376,676
  5. Step 5: Solve for x
    x = 5,546,376,676/49,771
  6. Step 6: Final answer
    x = 111,437.92

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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.