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Finding the Third Proportional to 11,408 and 24,872

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Solution

The third proportional to 11,408 and 24,872 is: 54,226.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,408 : 24,872 = 24,872 : x
  2. Step 2: Convert to fraction form
    11,408/24,872 = 24,872/x
  3. Step 3: Cross multiply
    11,408x = 24,872 × 24,872
  4. Step 4: Simplify right side
    11,408x = 618,616,384
  5. Step 5: Solve for x
    x = 618,616,384/11,408
  6. Step 6: Final answer
    x = 54,226.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.