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Finding the Third Proportional to 33,207.19 and 71,661.94

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Solution

The third proportional to 33,207.19 and 71,661.94 is: 154,648.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,207.19 : 71,661.94 = 71,661.94 : x
  2. Step 2: Convert to fraction form
    33,207.19/71,661.94 = 71,661.94/x
  3. Step 3: Cross multiply
    33,207.19x = 71,661.94 × 71,661.94
  4. Step 4: Simplify right side
    33,207.19x = 5,135,433,286.25
  5. Step 5: Solve for x
    x = 5,135,433,286.25/33,207.19
  6. Step 6: Final answer
    x = 154,648.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.