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Finding the Third Proportional to 33,387.50 and 68,011.75

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Solution

The third proportional to 33,387.50 and 68,011.75 is: 138,542.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,387.50 : 68,011.75 = 68,011.75 : x
  2. Step 2: Convert to fraction form
    33,387.50/68,011.75 = 68,011.75/x
  3. Step 3: Cross multiply
    33,387.50x = 68,011.75 × 68,011.75
  4. Step 4: Simplify right side
    33,387.50x = 4,625,598,138.06
  5. Step 5: Solve for x
    x = 4,625,598,138.06/33,387.50
  6. Step 6: Final answer
    x = 138,542.81

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.