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Finding the Third Proportional to 3,135.66 and 6,760.97

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Solution

The third proportional to 3,135.66 and 6,760.97 is: 14,577.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135.66 : 6,760.97 = 6,760.97 : x
  2. Step 2: Convert to fraction form
    3,135.66/6,760.97 = 6,760.97/x
  3. Step 3: Cross multiply
    3,135.66x = 6,760.97 × 6,760.97
  4. Step 4: Simplify right side
    3,135.66x = 45,710,698.44
  5. Step 5: Solve for x
    x = 45,710,698.44/3,135.66
  6. Step 6: Final answer
    x = 14,577.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.