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Finding the Third Proportional to 19,923 and 41,754

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Solution

The third proportional to 19,923 and 41,754 is: 87,506.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,923 : 41,754 = 41,754 : x
  2. Step 2: Convert to fraction form
    19,923/41,754 = 41,754/x
  3. Step 3: Cross multiply
    19,923x = 41,754 × 41,754
  4. Step 4: Simplify right side
    19,923x = 1,743,396,516
  5. Step 5: Solve for x
    x = 1,743,396,516/19,923
  6. Step 6: Final answer
    x = 87,506.73

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.