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Finding the Third Proportional to 24,986 and 54,325

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Solution

The third proportional to 24,986 and 54,325 is: 118,114.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,986 : 54,325 = 54,325 : x
  2. Step 2: Convert to fraction form
    24,986/54,325 = 54,325/x
  3. Step 3: Cross multiply
    24,986x = 54,325 × 54,325
  4. Step 4: Simplify right side
    24,986x = 2,951,205,625
  5. Step 5: Solve for x
    x = 2,951,205,625/24,986
  6. Step 6: Final answer
    x = 118,114.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.