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Finding the Third Proportional to 3,822 and 5,079

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Solution

The third proportional to 3,822 and 5,079 is: 6,749.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822 : 5,079 = 5,079 : x
  2. Step 2: Convert to fraction form
    3,822/5,079 = 5,079/x
  3. Step 3: Cross multiply
    3,822x = 5,079 × 5,079
  4. Step 4: Simplify right side
    3,822x = 25,796,241
  5. Step 5: Solve for x
    x = 25,796,241/3,822
  6. Step 6: Final answer
    x = 6,749.41

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.