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Finding the Third Proportional to 3,858 and 5,193

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Solution

The third proportional to 3,858 and 5,193 is: 6,989.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858 : 5,193 = 5,193 : x
  2. Step 2: Convert to fraction form
    3,858/5,193 = 5,193/x
  3. Step 3: Cross multiply
    3,858x = 5,193 × 5,193
  4. Step 4: Simplify right side
    3,858x = 26,967,249
  5. Step 5: Solve for x
    x = 26,967,249/3,858
  6. Step 6: Final answer
    x = 6,989.96

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.