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Finding the Third Proportional to 3,796 and 4,204

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Solution

The third proportional to 3,796 and 4,204 is: 4,655.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796 : 4,204 = 4,204 : x
  2. Step 2: Convert to fraction form
    3,796/4,204 = 4,204/x
  3. Step 3: Cross multiply
    3,796x = 4,204 × 4,204
  4. Step 4: Simplify right side
    3,796x = 17,673,616
  5. Step 5: Solve for x
    x = 17,673,616/3,796
  6. Step 6: Final answer
    x = 4,655.85

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.