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Finding the Third Proportional to 2,760.96 and 5,992.73

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Solution

The third proportional to 2,760.96 and 5,992.73 is: 13,007.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.96 : 5,992.73 = 5,992.73 : x
  2. Step 2: Convert to fraction form
    2,760.96/5,992.73 = 5,992.73/x
  3. Step 3: Cross multiply
    2,760.96x = 5,992.73 × 5,992.73
  4. Step 4: Simplify right side
    2,760.96x = 35,912,865.29
  5. Step 5: Solve for x
    x = 35,912,865.29/2,760.96
  6. Step 6: Final answer
    x = 13,007.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.