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Finding the Third Proportional to 3,171 and 6,718

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Solution

The third proportional to 3,171 and 6,718 is: 14,232.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171 : 6,718 = 6,718 : x
  2. Step 2: Convert to fraction form
    3,171/6,718 = 6,718/x
  3. Step 3: Cross multiply
    3,171x = 6,718 × 6,718
  4. Step 4: Simplify right side
    3,171x = 45,131,524
  5. Step 5: Solve for x
    x = 45,131,524/3,171
  6. Step 6: Final answer
    x = 14,232.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.