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Finding the Third Proportional to 33,689 and 49,879

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Solution

The third proportional to 33,689 and 49,879 is: 73,849.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,689 : 49,879 = 49,879 : x
  2. Step 2: Convert to fraction form
    33,689/49,879 = 49,879/x
  3. Step 3: Cross multiply
    33,689x = 49,879 × 49,879
  4. Step 4: Simplify right side
    33,689x = 2,487,914,641
  5. Step 5: Solve for x
    x = 2,487,914,641/33,689
  6. Step 6: Final answer
    x = 73,849.47

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.