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Finding the Third Proportional to 2,016 and 4,080

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Solution

The third proportional to 2,016 and 4,080 is: 8,257.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016 : 4,080 = 4,080 : x
  2. Step 2: Convert to fraction form
    2,016/4,080 = 4,080/x
  3. Step 3: Cross multiply
    2,016x = 4,080 × 4,080
  4. Step 4: Simplify right side
    2,016x = 16,646,400
  5. Step 5: Solve for x
    x = 16,646,400/2,016
  6. Step 6: Final answer
    x = 8,257.14

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.