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Finding the Third Proportional to 11,997 and 27,198

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Solution

The third proportional to 11,997 and 27,198 is: 61,659.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,997 : 27,198 = 27,198 : x
  2. Step 2: Convert to fraction form
    11,997/27,198 = 27,198/x
  3. Step 3: Cross multiply
    11,997x = 27,198 × 27,198
  4. Step 4: Simplify right side
    11,997x = 739,731,204
  5. Step 5: Solve for x
    x = 739,731,204/11,997
  6. Step 6: Final answer
    x = 61,659.68

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.