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Finding the Third Proportional to 8,200 and 19,812

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Solution

The third proportional to 8,200 and 19,812 is: 47,867.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200 : 19,812 = 19,812 : x
  2. Step 2: Convert to fraction form
    8,200/19,812 = 19,812/x
  3. Step 3: Cross multiply
    8,200x = 19,812 × 19,812
  4. Step 4: Simplify right side
    8,200x = 392,515,344
  5. Step 5: Solve for x
    x = 392,515,344/8,200
  6. Step 6: Final answer
    x = 47,867.72

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.