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Finding the Third Proportional to 39,869 and 85,882

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Solution

The third proportional to 39,869 and 85,882 is: 184,998.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,869 : 85,882 = 85,882 : x
  2. Step 2: Convert to fraction form
    39,869/85,882 = 85,882/x
  3. Step 3: Cross multiply
    39,869x = 85,882 × 85,882
  4. Step 4: Simplify right side
    39,869x = 7,375,717,924
  5. Step 5: Solve for x
    x = 7,375,717,924/39,869
  6. Step 6: Final answer
    x = 184,998.82

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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.