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Finding the Third Proportional to 6,832 and 13,856

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Solution

The third proportional to 6,832 and 13,856 is: 28,101.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,832 : 13,856 = 13,856 : x
  2. Step 2: Convert to fraction form
    6,832/13,856 = 13,856/x
  3. Step 3: Cross multiply
    6,832x = 13,856 × 13,856
  4. Step 4: Simplify right side
    6,832x = 191,988,736
  5. Step 5: Solve for x
    x = 191,988,736/6,832
  6. Step 6: Final answer
    x = 28,101.40

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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.