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Finding the Third Proportional to 33,727.64 and 50,437.69

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Solution

The third proportional to 33,727.64 and 50,437.69 is: 75,426.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,727.64 : 50,437.69 = 50,437.69 : x
  2. Step 2: Convert to fraction form
    33,727.64/50,437.69 = 50,437.69/x
  3. Step 3: Cross multiply
    33,727.64x = 50,437.69 × 50,437.69
  4. Step 4: Simplify right side
    33,727.64x = 2,543,960,320.35
  5. Step 5: Solve for x
    x = 2,543,960,320.35/33,727.64
  6. Step 6: Final answer
    x = 75,426.57

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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.