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Finding the Third Proportional to 2,911 and 3,183

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Solution

The third proportional to 2,911 and 3,183 is: 3,480.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911 : 3,183 = 3,183 : x
  2. Step 2: Convert to fraction form
    2,911/3,183 = 3,183/x
  3. Step 3: Cross multiply
    2,911x = 3,183 × 3,183
  4. Step 4: Simplify right side
    2,911x = 10,131,489
  5. Step 5: Solve for x
    x = 10,131,489/2,911
  6. Step 6: Final answer
    x = 3,480.42

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.