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Finding the Third Proportional to 41,701 and 61,449

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Solution

The third proportional to 41,701 and 61,449 is: 90,548.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,701 : 61,449 = 61,449 : x
  2. Step 2: Convert to fraction form
    41,701/61,449 = 61,449/x
  3. Step 3: Cross multiply
    41,701x = 61,449 × 61,449
  4. Step 4: Simplify right side
    41,701x = 3,775,979,601
  5. Step 5: Solve for x
    x = 3,775,979,601/41,701
  6. Step 6: Final answer
    x = 90,548.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.