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Finding the Third Proportional to 2,218 and 3,413

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Solution

The third proportional to 2,218 and 3,413 is: 5,251.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218 : 3,413 = 3,413 : x
  2. Step 2: Convert to fraction form
    2,218/3,413 = 3,413/x
  3. Step 3: Cross multiply
    2,218x = 3,413 × 3,413
  4. Step 4: Simplify right side
    2,218x = 11,648,569
  5. Step 5: Solve for x
    x = 11,648,569/2,218
  6. Step 6: Final answer
    x = 5,251.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.