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Finding the Third Proportional to 33,874 and 74,204

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Solution

The third proportional to 33,874 and 74,204 is: 162,550.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,874 : 74,204 = 74,204 : x
  2. Step 2: Convert to fraction form
    33,874/74,204 = 74,204/x
  3. Step 3: Cross multiply
    33,874x = 74,204 × 74,204
  4. Step 4: Simplify right side
    33,874x = 5,506,233,616
  5. Step 5: Solve for x
    x = 5,506,233,616/33,874
  6. Step 6: Final answer
    x = 162,550.44

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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.