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Finding the Third Proportional to 3,982 and 6,203

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Solution

The third proportional to 3,982 and 6,203 is: 9,662.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982 : 6,203 = 6,203 : x
  2. Step 2: Convert to fraction form
    3,982/6,203 = 6,203/x
  3. Step 3: Cross multiply
    3,982x = 6,203 × 6,203
  4. Step 4: Simplify right side
    3,982x = 38,477,209
  5. Step 5: Solve for x
    x = 38,477,209/3,982
  6. Step 6: Final answer
    x = 9,662.78

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.