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Finding the Third Proportional to 36,231.75 and 77,439.38

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Solution

The third proportional to 36,231.75 and 77,439.38 is: 165,513.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,231.75 : 77,439.38 = 77,439.38 : x
  2. Step 2: Convert to fraction form
    36,231.75/77,439.38 = 77,439.38/x
  3. Step 3: Cross multiply
    36,231.75x = 77,439.38 × 77,439.38
  4. Step 4: Simplify right side
    36,231.75x = 5,996,856,800.39
  5. Step 5: Solve for x
    x = 5,996,856,800.39/36,231.75
  6. Step 6: Final answer
    x = 165,513.86

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.