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Finding the Third Proportional to 11,902 and 26,198

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Solution

The third proportional to 11,902 and 26,198 is: 57,665.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902 : 26,198 = 26,198 : x
  2. Step 2: Convert to fraction form
    11,902/26,198 = 26,198/x
  3. Step 3: Cross multiply
    11,902x = 26,198 × 26,198
  4. Step 4: Simplify right side
    11,902x = 686,335,204
  5. Step 5: Solve for x
    x = 686,335,204/11,902
  6. Step 6: Final answer
    x = 57,665.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.