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Finding the Third Proportional to 11,617 and 24,874

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Solution

The third proportional to 11,617 and 24,874 is: 53,259.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,617 : 24,874 = 24,874 : x
  2. Step 2: Convert to fraction form
    11,617/24,874 = 24,874/x
  3. Step 3: Cross multiply
    11,617x = 24,874 × 24,874
  4. Step 4: Simplify right side
    11,617x = 618,715,876
  5. Step 5: Solve for x
    x = 618,715,876/11,617
  6. Step 6: Final answer
    x = 53,259.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.