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Finding the Third Proportional to 37,099.75 and 87,489.25

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Solution

The third proportional to 37,099.75 and 87,489.25 is: 206,318.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,099.75 : 87,489.25 = 87,489.25 : x
  2. Step 2: Convert to fraction form
    37,099.75/87,489.25 = 87,489.25/x
  3. Step 3: Cross multiply
    37,099.75x = 87,489.25 × 87,489.25
  4. Step 4: Simplify right side
    37,099.75x = 7,654,368,865.56
  5. Step 5: Solve for x
    x = 7,654,368,865.56/37,099.75
  6. Step 6: Final answer
    x = 206,318.61

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.