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Finding the Third Proportional to 18,919 and 41,512

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Solution

The third proportional to 18,919 and 41,512 is: 91,085.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,919 : 41,512 = 41,512 : x
  2. Step 2: Convert to fraction form
    18,919/41,512 = 41,512/x
  3. Step 3: Cross multiply
    18,919x = 41,512 × 41,512
  4. Step 4: Simplify right side
    18,919x = 1,723,246,144
  5. Step 5: Solve for x
    x = 1,723,246,144/18,919
  6. Step 6: Final answer
    x = 91,085.48

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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.