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Finding the Third Proportional to 11,922 and 25,626

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Solution

The third proportional to 11,922 and 25,626 is: 55,082.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,922 : 25,626 = 25,626 : x
  2. Step 2: Convert to fraction form
    11,922/25,626 = 25,626/x
  3. Step 3: Cross multiply
    11,922x = 25,626 × 25,626
  4. Step 4: Simplify right side
    11,922x = 656,691,876
  5. Step 5: Solve for x
    x = 656,691,876/11,922
  6. Step 6: Final answer
    x = 55,082.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.