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Finding the Third Proportional to 40,375.13 and 61,974.75

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Solution

The third proportional to 40,375.13 and 61,974.75 is: 95,129.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,375.13 : 61,974.75 = 61,974.75 : x
  2. Step 2: Convert to fraction form
    40,375.13/61,974.75 = 61,974.75/x
  3. Step 3: Cross multiply
    40,375.13x = 61,974.75 × 61,974.75
  4. Step 4: Simplify right side
    40,375.13x = 3,840,869,637.56
  5. Step 5: Solve for x
    x = 3,840,869,637.56/40,375.13
  6. Step 6: Final answer
    x = 95,129.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.