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Finding the Third Proportional to 24,775 and 54,249

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Solution

The third proportional to 24,775 and 54,249 is: 118,787.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,775 : 54,249 = 54,249 : x
  2. Step 2: Convert to fraction form
    24,775/54,249 = 54,249/x
  3. Step 3: Cross multiply
    24,775x = 54,249 × 54,249
  4. Step 4: Simplify right side
    24,775x = 2,942,954,001
  5. Step 5: Solve for x
    x = 2,942,954,001/24,775
  6. Step 6: Final answer
    x = 118,787.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.