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Finding the Third Proportional to 3,158 and 4,193

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Solution

The third proportional to 3,158 and 4,193 is: 5,567.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158 : 4,193 = 4,193 : x
  2. Step 2: Convert to fraction form
    3,158/4,193 = 4,193/x
  3. Step 3: Cross multiply
    3,158x = 4,193 × 4,193
  4. Step 4: Simplify right side
    3,158x = 17,581,249
  5. Step 5: Solve for x
    x = 17,581,249/3,158
  6. Step 6: Final answer
    x = 5,567.21

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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.