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Finding the Third Proportional to 19,962 and 43,812

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Solution

The third proportional to 19,962 and 43,812 is: 96,157.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,962 : 43,812 = 43,812 : x
  2. Step 2: Convert to fraction form
    19,962/43,812 = 43,812/x
  3. Step 3: Cross multiply
    19,962x = 43,812 × 43,812
  4. Step 4: Simplify right side
    19,962x = 1,919,491,344
  5. Step 5: Solve for x
    x = 1,919,491,344/19,962
  6. Step 6: Final answer
    x = 96,157.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.