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Finding the Third Proportional to 1,962 and 3,996

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Solution

The third proportional to 1,962 and 3,996 is: 8,138.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962 : 3,996 = 3,996 : x
  2. Step 2: Convert to fraction form
    1,962/3,996 = 3,996/x
  3. Step 3: Cross multiply
    1,962x = 3,996 × 3,996
  4. Step 4: Simplify right side
    1,962x = 15,968,016
  5. Step 5: Solve for x
    x = 15,968,016/1,962
  6. Step 6: Final answer
    x = 8,138.64

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.