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Finding the Third Proportional to 18,182 and 39,469

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Solution

The third proportional to 18,182 and 39,469 is: 85,678.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,182 : 39,469 = 39,469 : x
  2. Step 2: Convert to fraction form
    18,182/39,469 = 39,469/x
  3. Step 3: Cross multiply
    18,182x = 39,469 × 39,469
  4. Step 4: Simplify right side
    18,182x = 1,557,801,961
  5. Step 5: Solve for x
    x = 1,557,801,961/18,182
  6. Step 6: Final answer
    x = 85,678.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.