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Finding the Third Proportional to 2,214 and 3,392

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Solution

The third proportional to 2,214 and 3,392 is: 5,196.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214 : 3,392 = 3,392 : x
  2. Step 2: Convert to fraction form
    2,214/3,392 = 3,392/x
  3. Step 3: Cross multiply
    2,214x = 3,392 × 3,392
  4. Step 4: Simplify right side
    2,214x = 11,505,664
  5. Step 5: Solve for x
    x = 11,505,664/2,214
  6. Step 6: Final answer
    x = 5,196.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.