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Finding the Third Proportional to 24,896.38 and 37,371.56

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Solution

The third proportional to 24,896.38 and 37,371.56 is: 56,097.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,896.38 : 37,371.56 = 37,371.56 : x
  2. Step 2: Convert to fraction form
    24,896.38/37,371.56 = 37,371.56/x
  3. Step 3: Cross multiply
    24,896.38x = 37,371.56 × 37,371.56
  4. Step 4: Simplify right side
    24,896.38x = 1,396,633,683.69
  5. Step 5: Solve for x
    x = 1,396,633,683.69/24,896.38
  6. Step 6: Final answer
    x = 56,097.87

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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.