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Finding the Third Proportional to 10,918 and 17,227

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Solution

The third proportional to 10,918 and 17,227 is: 27,181.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,918 : 17,227 = 17,227 : x
  2. Step 2: Convert to fraction form
    10,918/17,227 = 17,227/x
  3. Step 3: Cross multiply
    10,918x = 17,227 × 17,227
  4. Step 4: Simplify right side
    10,918x = 296,769,529
  5. Step 5: Solve for x
    x = 296,769,529/10,918
  6. Step 6: Final answer
    x = 27,181.68

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.