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Finding the Third Proportional to 2,311 and 2,412

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Solution

The third proportional to 2,311 and 2,412 is: 2,517.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311 : 2,412 = 2,412 : x
  2. Step 2: Convert to fraction form
    2,311/2,412 = 2,412/x
  3. Step 3: Cross multiply
    2,311x = 2,412 × 2,412
  4. Step 4: Simplify right side
    2,311x = 5,817,744
  5. Step 5: Solve for x
    x = 5,817,744/2,311
  6. Step 6: Final answer
    x = 2,517.41

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Why These Related Problems?

These problems maintain the same ratio (1.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.