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Finding the Third Proportional to 33,794 and 52,163

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Solution

The third proportional to 33,794 and 52,163 is: 80,516.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,794 : 52,163 = 52,163 : x
  2. Step 2: Convert to fraction form
    33,794/52,163 = 52,163/x
  3. Step 3: Cross multiply
    33,794x = 52,163 × 52,163
  4. Step 4: Simplify right side
    33,794x = 2,720,978,569
  5. Step 5: Solve for x
    x = 2,720,978,569/33,794
  6. Step 6: Final answer
    x = 80,516.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.