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Finding the Third Proportional to 38,940 and 61,017

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Solution

The third proportional to 38,940 and 61,017 is: 95,610.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,940 : 61,017 = 61,017 : x
  2. Step 2: Convert to fraction form
    38,940/61,017 = 61,017/x
  3. Step 3: Cross multiply
    38,940x = 61,017 × 61,017
  4. Step 4: Simplify right side
    38,940x = 3,723,074,289
  5. Step 5: Solve for x
    x = 3,723,074,289/38,940
  6. Step 6: Final answer
    x = 95,610.54

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.