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Finding the Third Proportional to 3,184 and 4,238

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Solution

The third proportional to 3,184 and 4,238 is: 5,640.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184 : 4,238 = 4,238 : x
  2. Step 2: Convert to fraction form
    3,184/4,238 = 4,238/x
  3. Step 3: Cross multiply
    3,184x = 4,238 × 4,238
  4. Step 4: Simplify right side
    3,184x = 17,960,644
  5. Step 5: Solve for x
    x = 17,960,644/3,184
  6. Step 6: Final answer
    x = 5,640.91

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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.