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Finding the Third Proportional to 24,987 and 54,327

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Solution

The third proportional to 24,987 and 54,327 is: 118,118.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,987 : 54,327 = 54,327 : x
  2. Step 2: Convert to fraction form
    24,987/54,327 = 54,327/x
  3. Step 3: Cross multiply
    24,987x = 54,327 × 54,327
  4. Step 4: Simplify right side
    24,987x = 2,951,422,929
  5. Step 5: Solve for x
    x = 2,951,422,929/24,987
  6. Step 6: Final answer
    x = 118,118.34

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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.