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Finding the Third Proportional to 33,027.75 and 51,161.63

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Solution

The third proportional to 33,027.75 and 51,161.63 is: 79,251.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,027.75 : 51,161.63 = 51,161.63 : x
  2. Step 2: Convert to fraction form
    33,027.75/51,161.63 = 51,161.63/x
  3. Step 3: Cross multiply
    33,027.75x = 51,161.63 × 51,161.63
  4. Step 4: Simplify right side
    33,027.75x = 2,617,511,872.64
  5. Step 5: Solve for x
    x = 2,617,511,872.64/33,027.75
  6. Step 6: Final answer
    x = 79,251.90

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.