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Finding the Third Proportional to 3,678 and 6,868

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Solution

The third proportional to 3,678 and 6,868 is: 12,824.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678 : 6,868 = 6,868 : x
  2. Step 2: Convert to fraction form
    3,678/6,868 = 6,868/x
  3. Step 3: Cross multiply
    3,678x = 6,868 × 6,868
  4. Step 4: Simplify right side
    3,678x = 47,169,424
  5. Step 5: Solve for x
    x = 47,169,424/3,678
  6. Step 6: Final answer
    x = 12,824.75

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.