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Finding the Third Proportional to 13,856 and 20,800

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Solution

The third proportional to 13,856 and 20,800 is: 31,224.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,856 : 20,800 = 20,800 : x
  2. Step 2: Convert to fraction form
    13,856/20,800 = 20,800/x
  3. Step 3: Cross multiply
    13,856x = 20,800 × 20,800
  4. Step 4: Simplify right side
    13,856x = 432,640,000
  5. Step 5: Solve for x
    x = 432,640,000/13,856
  6. Step 6: Final answer
    x = 31,224.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.