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Finding the Third Proportional to 3,231 and 6,771

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Solution

The third proportional to 3,231 and 6,771 is: 14,189.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231 : 6,771 = 6,771 : x
  2. Step 2: Convert to fraction form
    3,231/6,771 = 6,771/x
  3. Step 3: Cross multiply
    3,231x = 6,771 × 6,771
  4. Step 4: Simplify right side
    3,231x = 45,846,441
  5. Step 5: Solve for x
    x = 45,846,441/3,231
  6. Step 6: Final answer
    x = 14,189.55

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.