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Finding the Third Proportional to 9,638 and 19,921

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Solution

The third proportional to 9,638 and 19,921 is: 41,175.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638 : 19,921 = 19,921 : x
  2. Step 2: Convert to fraction form
    9,638/19,921 = 19,921/x
  3. Step 3: Cross multiply
    9,638x = 19,921 × 19,921
  4. Step 4: Simplify right side
    9,638x = 396,846,241
  5. Step 5: Solve for x
    x = 396,846,241/9,638
  6. Step 6: Final answer
    x = 41,175.17

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.