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Finding the Third Proportional to 18,193 and 37,922

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Solution

The third proportional to 18,193 and 37,922 is: 79,045.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,193 : 37,922 = 37,922 : x
  2. Step 2: Convert to fraction form
    18,193/37,922 = 37,922/x
  3. Step 3: Cross multiply
    18,193x = 37,922 × 37,922
  4. Step 4: Simplify right side
    18,193x = 1,438,078,084
  5. Step 5: Solve for x
    x = 1,438,078,084/18,193
  6. Step 6: Final answer
    x = 79,045.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.