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Finding the Third Proportional to 2,732.91 and 4,099.92

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Solution

The third proportional to 2,732.91 and 4,099.92 is: 6,150.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.91 : 4,099.92 = 4,099.92 : x
  2. Step 2: Convert to fraction form
    2,732.91/4,099.92 = 4,099.92/x
  3. Step 3: Cross multiply
    2,732.91x = 4,099.92 × 4,099.92
  4. Step 4: Simplify right side
    2,732.91x = 16,809,359.38
  5. Step 5: Solve for x
    x = 16,809,359.38/2,732.91
  6. Step 6: Final answer
    x = 6,150.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.