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Finding the Third Proportional to 39,869 and 61,694

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Solution

The third proportional to 39,869 and 61,694 is: 95,466.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,869 : 61,694 = 61,694 : x
  2. Step 2: Convert to fraction form
    39,869/61,694 = 61,694/x
  3. Step 3: Cross multiply
    39,869x = 61,694 × 61,694
  4. Step 4: Simplify right side
    39,869x = 3,806,149,636
  5. Step 5: Solve for x
    x = 3,806,149,636/39,869
  6. Step 6: Final answer
    x = 95,466.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.