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Finding the Third Proportional to 18,182 and 27,802

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Solution

The third proportional to 18,182 and 27,802 is: 42,511.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,182 : 27,802 = 27,802 : x
  2. Step 2: Convert to fraction form
    18,182/27,802 = 27,802/x
  3. Step 3: Cross multiply
    18,182x = 27,802 × 27,802
  4. Step 4: Simplify right side
    18,182x = 772,951,204
  5. Step 5: Solve for x
    x = 772,951,204/18,182
  6. Step 6: Final answer
    x = 42,511.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.