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Finding the Third Proportional to 5,757.33 and 12,679.03

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Solution

The third proportional to 5,757.33 and 12,679.03 is: 27,922.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,757.33 : 12,679.03 = 12,679.03 : x
  2. Step 2: Convert to fraction form
    5,757.33/12,679.03 = 12,679.03/x
  3. Step 3: Cross multiply
    5,757.33x = 12,679.03 × 12,679.03
  4. Step 4: Simplify right side
    5,757.33x = 160,757,833.44
  5. Step 5: Solve for x
    x = 160,757,833.44/5,757.33
  6. Step 6: Final answer
    x = 27,922.30

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.