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Finding the Third Proportional to 3,384 and 6,858

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Solution

The third proportional to 3,384 and 6,858 is: 13,898.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384 : 6,858 = 6,858 : x
  2. Step 2: Convert to fraction form
    3,384/6,858 = 6,858/x
  3. Step 3: Cross multiply
    3,384x = 6,858 × 6,858
  4. Step 4: Simplify right side
    3,384x = 47,032,164
  5. Step 5: Solve for x
    x = 47,032,164/3,384
  6. Step 6: Final answer
    x = 13,898.39

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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.