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Finding the Third Proportional to 6,684 and 13,016

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Solution

The third proportional to 6,684 and 13,016 is: 25,346.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684 : 13,016 = 13,016 : x
  2. Step 2: Convert to fraction form
    6,684/13,016 = 13,016/x
  3. Step 3: Cross multiply
    6,684x = 13,016 × 13,016
  4. Step 4: Simplify right side
    6,684x = 169,416,256
  5. Step 5: Solve for x
    x = 169,416,256/6,684
  6. Step 6: Final answer
    x = 25,346.54

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.