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Finding the Third Proportional to 19,067 and 41,823

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Solution

The third proportional to 19,067 and 41,823 is: 91,737.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,067 : 41,823 = 41,823 : x
  2. Step 2: Convert to fraction form
    19,067/41,823 = 41,823/x
  3. Step 3: Cross multiply
    19,067x = 41,823 × 41,823
  4. Step 4: Simplify right side
    19,067x = 1,749,163,329
  5. Step 5: Solve for x
    x = 1,749,163,329/19,067
  6. Step 6: Final answer
    x = 91,737.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.