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Finding the Third Proportional to 2,016 and 3,211

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Solution

The third proportional to 2,016 and 3,211 is: 5,114.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016 : 3,211 = 3,211 : x
  2. Step 2: Convert to fraction form
    2,016/3,211 = 3,211/x
  3. Step 3: Cross multiply
    2,016x = 3,211 × 3,211
  4. Step 4: Simplify right side
    2,016x = 10,310,521
  5. Step 5: Solve for x
    x = 10,310,521/2,016
  6. Step 6: Final answer
    x = 5,114.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.