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Finding the Third Proportional to 19,936 and 41,167

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Solution

The third proportional to 19,936 and 41,167 is: 85,008.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,936 : 41,167 = 41,167 : x
  2. Step 2: Convert to fraction form
    19,936/41,167 = 41,167/x
  3. Step 3: Cross multiply
    19,936x = 41,167 × 41,167
  4. Step 4: Simplify right side
    19,936x = 1,694,721,889
  5. Step 5: Solve for x
    x = 1,694,721,889/19,936
  6. Step 6: Final answer
    x = 85,008.12

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.