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Finding the Third Proportional to 24,997 and 54,367

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Solution

The third proportional to 24,997 and 54,367 is: 118,245.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,997 : 54,367 = 54,367 : x
  2. Step 2: Convert to fraction form
    24,997/54,367 = 54,367/x
  3. Step 3: Cross multiply
    24,997x = 54,367 × 54,367
  4. Step 4: Simplify right side
    24,997x = 2,955,770,689
  5. Step 5: Solve for x
    x = 2,955,770,689/24,997
  6. Step 6: Final answer
    x = 118,245.02

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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.