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Finding the Third Proportional to 2,760.33 and 5,910.47

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Solution

The third proportional to 2,760.33 and 5,910.47 is: 12,655.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.33 : 5,910.47 = 5,910.47 : x
  2. Step 2: Convert to fraction form
    2,760.33/5,910.47 = 5,910.47/x
  3. Step 3: Cross multiply
    2,760.33x = 5,910.47 × 5,910.47
  4. Step 4: Simplify right side
    2,760.33x = 34,933,640.84
  5. Step 5: Solve for x
    x = 34,933,640.84/2,760.33
  6. Step 6: Final answer
    x = 12,655.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.