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Finding the Third Proportional to 39,869 and 82,249

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Solution

The third proportional to 39,869 and 82,249 is: 169,678.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,869 : 82,249 = 82,249 : x
  2. Step 2: Convert to fraction form
    39,869/82,249 = 82,249/x
  3. Step 3: Cross multiply
    39,869x = 82,249 × 82,249
  4. Step 4: Simplify right side
    39,869x = 6,764,898,001
  5. Step 5: Solve for x
    x = 6,764,898,001/39,869
  6. Step 6: Final answer
    x = 169,678.15

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.