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Finding the Third Proportional to 8,223 and 18,825

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Solution

The third proportional to 8,223 and 18,825 is: 43,096.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223 : 18,825 = 18,825 : x
  2. Step 2: Convert to fraction form
    8,223/18,825 = 18,825/x
  3. Step 3: Cross multiply
    8,223x = 18,825 × 18,825
  4. Step 4: Simplify right side
    8,223x = 354,380,625
  5. Step 5: Solve for x
    x = 354,380,625/8,223
  6. Step 6: Final answer
    x = 43,096.27

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.