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Finding the Third Proportional to 18,318 and 39,227

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Solution

The third proportional to 18,318 and 39,227 is: 84,002.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,318 : 39,227 = 39,227 : x
  2. Step 2: Convert to fraction form
    18,318/39,227 = 39,227/x
  3. Step 3: Cross multiply
    18,318x = 39,227 × 39,227
  4. Step 4: Simplify right side
    18,318x = 1,538,757,529
  5. Step 5: Solve for x
    x = 1,538,757,529/18,318
  6. Step 6: Final answer
    x = 84,002.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.