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Finding the Third Proportional to 33,013.88 and 71,161.13

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Solution

The third proportional to 33,013.88 and 71,161.13 is: 153,387.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,013.88 : 71,161.13 = 71,161.13 : x
  2. Step 2: Convert to fraction form
    33,013.88/71,161.13 = 71,161.13/x
  3. Step 3: Cross multiply
    33,013.88x = 71,161.13 × 71,161.13
  4. Step 4: Simplify right side
    33,013.88x = 5,063,905,711.27
  5. Step 5: Solve for x
    x = 5,063,905,711.27/33,013.88
  6. Step 6: Final answer
    x = 153,387.20

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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.