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Finding the Third Proportional to 33,148.13 and 50,203.69

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Solution

The third proportional to 33,148.13 and 50,203.69 is: 76,034.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,148.13 : 50,203.69 = 50,203.69 : x
  2. Step 2: Convert to fraction form
    33,148.13/50,203.69 = 50,203.69/x
  3. Step 3: Cross multiply
    33,148.13x = 50,203.69 × 50,203.69
  4. Step 4: Simplify right side
    33,148.13x = 2,520,410,238.60
  5. Step 5: Solve for x
    x = 2,520,410,238.60/33,148.13
  6. Step 6: Final answer
    x = 76,034.78

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.