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Finding the Third Proportional to 3,171 and 6,687

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Solution

The third proportional to 3,171 and 6,687 is: 14,101.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171 : 6,687 = 6,687 : x
  2. Step 2: Convert to fraction form
    3,171/6,687 = 6,687/x
  3. Step 3: Cross multiply
    3,171x = 6,687 × 6,687
  4. Step 4: Simplify right side
    3,171x = 44,715,969
  5. Step 5: Solve for x
    x = 44,715,969/3,171
  6. Step 6: Final answer
    x = 14,101.54

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.