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Finding the Third Proportional to 3,271 and 6,731

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Solution

The third proportional to 3,271 and 6,731 is: 13,850.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271 : 6,731 = 6,731 : x
  2. Step 2: Convert to fraction form
    3,271/6,731 = 6,731/x
  3. Step 3: Cross multiply
    3,271x = 6,731 × 6,731
  4. Step 4: Simplify right side
    3,271x = 45,306,361
  5. Step 5: Solve for x
    x = 45,306,361/3,271
  6. Step 6: Final answer
    x = 13,850.92

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.