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Finding the Third Proportional to 3,799 and 4,285

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Solution

The third proportional to 3,799 and 4,285 is: 4,833.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,799 : 4,285 = 4,285 : x
  2. Step 2: Convert to fraction form
    3,799/4,285 = 4,285/x
  3. Step 3: Cross multiply
    3,799x = 4,285 × 4,285
  4. Step 4: Simplify right side
    3,799x = 18,361,225
  5. Step 5: Solve for x
    x = 18,361,225/3,799
  6. Step 6: Final answer
    x = 4,833.17

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.