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Finding the Third Proportional to 8,823 and 19,067

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Solution

The third proportional to 8,823 and 19,067 is: 41,204.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,823 : 19,067 = 19,067 : x
  2. Step 2: Convert to fraction form
    8,823/19,067 = 19,067/x
  3. Step 3: Cross multiply
    8,823x = 19,067 × 19,067
  4. Step 4: Simplify right side
    8,823x = 363,550,489
  5. Step 5: Solve for x
    x = 363,550,489/8,823
  6. Step 6: Final answer
    x = 41,204.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.