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Finding the Third Proportional to 6,849 and 13,878

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Solution

The third proportional to 6,849 and 13,878 is: 28,120.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,849 : 13,878 = 13,878 : x
  2. Step 2: Convert to fraction form
    6,849/13,878 = 13,878/x
  3. Step 3: Cross multiply
    6,849x = 13,878 × 13,878
  4. Step 4: Simplify right side
    6,849x = 192,598,884
  5. Step 5: Solve for x
    x = 192,598,884/6,849
  6. Step 6: Final answer
    x = 28,120.73

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.