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Finding the Third Proportional to 2,194 and 3,311

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Solution

The third proportional to 2,194 and 3,311 is: 4,996.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194 : 3,311 = 3,311 : x
  2. Step 2: Convert to fraction form
    2,194/3,311 = 3,311/x
  3. Step 3: Cross multiply
    2,194x = 3,311 × 3,311
  4. Step 4: Simplify right side
    2,194x = 10,962,721
  5. Step 5: Solve for x
    x = 10,962,721/2,194
  6. Step 6: Final answer
    x = 4,996.68

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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.