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Finding the Third Proportional to 27,919 and 41,938

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Solution

The third proportional to 27,919 and 41,938 is: 62,996.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,919 : 41,938 = 41,938 : x
  2. Step 2: Convert to fraction form
    27,919/41,938 = 41,938/x
  3. Step 3: Cross multiply
    27,919x = 41,938 × 41,938
  4. Step 4: Simplify right side
    27,919x = 1,758,795,844
  5. Step 5: Solve for x
    x = 1,758,795,844/27,919
  6. Step 6: Final answer
    x = 62,996.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.