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Finding the Third Proportional to 8,200 and 18,496

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Solution

The third proportional to 8,200 and 18,496 is: 41,719.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200 : 18,496 = 18,496 : x
  2. Step 2: Convert to fraction form
    8,200/18,496 = 18,496/x
  3. Step 3: Cross multiply
    8,200x = 18,496 × 18,496
  4. Step 4: Simplify right side
    8,200x = 342,102,016
  5. Step 5: Solve for x
    x = 342,102,016/8,200
  6. Step 6: Final answer
    x = 41,719.76

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.