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Finding the Third Proportional to 25,697.25 and 38,614.22

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Solution

The third proportional to 25,697.25 and 38,614.22 is: 58,024.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,697.25 : 38,614.22 = 38,614.22 : x
  2. Step 2: Convert to fraction form
    25,697.25/38,614.22 = 38,614.22/x
  3. Step 3: Cross multiply
    25,697.25x = 38,614.22 × 38,614.22
  4. Step 4: Simplify right side
    25,697.25x = 1,491,057,889.67
  5. Step 5: Solve for x
    x = 1,491,057,889.67/25,697.25
  6. Step 6: Final answer
    x = 58,024.03

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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.