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Finding the Third Proportional to 3,170 and 6,388

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Solution

The third proportional to 3,170 and 6,388 is: 12,872.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170 : 6,388 = 6,388 : x
  2. Step 2: Convert to fraction form
    3,170/6,388 = 6,388/x
  3. Step 3: Cross multiply
    3,170x = 6,388 × 6,388
  4. Step 4: Simplify right side
    3,170x = 40,806,544
  5. Step 5: Solve for x
    x = 40,806,544/3,170
  6. Step 6: Final answer
    x = 12,872.73

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.