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Finding the Third Proportional to 2,684 and 6,170

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Solution

The third proportional to 2,684 and 6,170 is: 14,183.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684 : 6,170 = 6,170 : x
  2. Step 2: Convert to fraction form
    2,684/6,170 = 6,170/x
  3. Step 3: Cross multiply
    2,684x = 6,170 × 6,170
  4. Step 4: Simplify right side
    2,684x = 38,068,900
  5. Step 5: Solve for x
    x = 38,068,900/2,684
  6. Step 6: Final answer
    x = 14,183.64

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.