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Finding the Third Proportional to 32,794 and 71,744

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Solution

The third proportional to 32,794 and 71,744 is: 156,955.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,794 : 71,744 = 71,744 : x
  2. Step 2: Convert to fraction form
    32,794/71,744 = 71,744/x
  3. Step 3: Cross multiply
    32,794x = 71,744 × 71,744
  4. Step 4: Simplify right side
    32,794x = 5,147,201,536
  5. Step 5: Solve for x
    x = 5,147,201,536/32,794
  6. Step 6: Final answer
    x = 156,955.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.