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Finding the Third Proportional to 8,021 and 17,227

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Solution

The third proportional to 8,021 and 17,227 is: 36,999.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,021 : 17,227 = 17,227 : x
  2. Step 2: Convert to fraction form
    8,021/17,227 = 17,227/x
  3. Step 3: Cross multiply
    8,021x = 17,227 × 17,227
  4. Step 4: Simplify right side
    8,021x = 296,769,529
  5. Step 5: Solve for x
    x = 296,769,529/8,021
  6. Step 6: Final answer
    x = 36,999.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.