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Finding the Third Proportional to 2,311 and 3,496

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Solution

The third proportional to 2,311 and 3,496 is: 5,288.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311 : 3,496 = 3,496 : x
  2. Step 2: Convert to fraction form
    2,311/3,496 = 3,496/x
  3. Step 3: Cross multiply
    2,311x = 3,496 × 3,496
  4. Step 4: Simplify right side
    2,311x = 12,222,016
  5. Step 5: Solve for x
    x = 12,222,016/2,311
  6. Step 6: Final answer
    x = 5,288.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.