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Finding the Third Proportional to 33,245.25 and 72,849

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Solution

The third proportional to 33,245.25 and 72,849 is: 159,631.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,245.25 : 72,849 = 72,849 : x
  2. Step 2: Convert to fraction form
    33,245.25/72,849 = 72,849/x
  3. Step 3: Cross multiply
    33,245.25x = 72,849 × 72,849
  4. Step 4: Simplify right side
    33,245.25x = 5,306,976,801
  5. Step 5: Solve for x
    x = 5,306,976,801/33,245.25
  6. Step 6: Final answer
    x = 159,631.13

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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.