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Finding the Third Proportional to 25,998.75 and 38,614.50

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Solution

The third proportional to 25,998.75 and 38,614.50 is: 57,351.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,998.75 : 38,614.50 = 38,614.50 : x
  2. Step 2: Convert to fraction form
    25,998.75/38,614.50 = 38,614.50/x
  3. Step 3: Cross multiply
    25,998.75x = 38,614.50 × 38,614.50
  4. Step 4: Simplify right side
    25,998.75x = 1,491,079,610.25
  5. Step 5: Solve for x
    x = 1,491,079,610.25/25,998.75
  6. Step 6: Final answer
    x = 57,351.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.