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Finding the Third Proportional to 11,794 and 27,802

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Solution

The third proportional to 11,794 and 27,802 is: 65,537.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,794 : 27,802 = 27,802 : x
  2. Step 2: Convert to fraction form
    11,794/27,802 = 27,802/x
  3. Step 3: Cross multiply
    11,794x = 27,802 × 27,802
  4. Step 4: Simplify right side
    11,794x = 772,951,204
  5. Step 5: Solve for x
    x = 772,951,204/11,794
  6. Step 6: Final answer
    x = 65,537.66

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.