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Finding the Third Proportional to 2,214 and 3,671

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Solution

The third proportional to 2,214 and 3,671 is: 6,086.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214 : 3,671 = 3,671 : x
  2. Step 2: Convert to fraction form
    2,214/3,671 = 3,671/x
  3. Step 3: Cross multiply
    2,214x = 3,671 × 3,671
  4. Step 4: Simplify right side
    2,214x = 13,476,241
  5. Step 5: Solve for x
    x = 13,476,241/2,214
  6. Step 6: Final answer
    x = 6,086.83

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.