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Finding the Third Proportional to 1,760.06 and 3,778.31

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Solution

The third proportional to 1,760.06 and 3,778.31 is: 8,110.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.06 : 3,778.31 = 3,778.31 : x
  2. Step 2: Convert to fraction form
    1,760.06/3,778.31 = 3,778.31/x
  3. Step 3: Cross multiply
    1,760.06x = 3,778.31 × 3,778.31
  4. Step 4: Simplify right side
    1,760.06x = 14,275,645.35
  5. Step 5: Solve for x
    x = 14,275,645.35/1,760.06
  6. Step 6: Final answer
    x = 8,110.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.