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Finding the Third Proportional to 33,765.19 and 50,464.69

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Solution

The third proportional to 33,765.19 and 50,464.69 is: 75,423.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,765.19 : 50,464.69 = 50,464.69 : x
  2. Step 2: Convert to fraction form
    33,765.19/50,464.69 = 50,464.69/x
  3. Step 3: Cross multiply
    33,765.19x = 50,464.69 × 50,464.69
  4. Step 4: Simplify right side
    33,765.19x = 2,546,684,684.47
  5. Step 5: Solve for x
    x = 2,546,684,684.47/33,765.19
  6. Step 6: Final answer
    x = 75,423.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.