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Finding the Third Proportional to 33,693.47 and 80,121.66

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Solution

The third proportional to 33,693.47 and 80,121.66 is: 190,525.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,693.47 : 80,121.66 = 80,121.66 : x
  2. Step 2: Convert to fraction form
    33,693.47/80,121.66 = 80,121.66/x
  3. Step 3: Cross multiply
    33,693.47x = 80,121.66 × 80,121.66
  4. Step 4: Simplify right side
    33,693.47x = 6,419,479,800.24
  5. Step 5: Solve for x
    x = 6,419,479,800.24/33,693.47
  6. Step 6: Final answer
    x = 190,525.94

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.