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Finding the Third Proportional to 19,098 and 41,962

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Solution

The third proportional to 19,098 and 41,962 is: 92,198.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,098 : 41,962 = 41,962 : x
  2. Step 2: Convert to fraction form
    19,098/41,962 = 41,962/x
  3. Step 3: Cross multiply
    19,098x = 41,962 × 41,962
  4. Step 4: Simplify right side
    19,098x = 1,760,809,444
  5. Step 5: Solve for x
    x = 1,760,809,444/19,098
  6. Step 6: Final answer
    x = 92,198.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.