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Finding the Third Proportional to 33,794 and 68,884

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Solution

The third proportional to 33,794 and 68,884 is: 140,409.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,794 : 68,884 = 68,884 : x
  2. Step 2: Convert to fraction form
    33,794/68,884 = 68,884/x
  3. Step 3: Cross multiply
    33,794x = 68,884 × 68,884
  4. Step 4: Simplify right side
    33,794x = 4,745,005,456
  5. Step 5: Solve for x
    x = 4,745,005,456/33,794
  6. Step 6: Final answer
    x = 140,409.70

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.