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Finding the Third Proportional to 33,976.13 and 50,923.69

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Solution

The third proportional to 33,976.13 and 50,923.69 is: 76,324.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,976.13 : 50,923.69 = 50,923.69 : x
  2. Step 2: Convert to fraction form
    33,976.13/50,923.69 = 50,923.69/x
  3. Step 3: Cross multiply
    33,976.13x = 50,923.69 × 50,923.69
  4. Step 4: Simplify right side
    33,976.13x = 2,593,221,948.60
  5. Step 5: Solve for x
    x = 2,593,221,948.60/33,976.13
  6. Step 6: Final answer
    x = 76,324.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.