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Finding the Third Proportional to 18,736 and 41,144

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Solution

The third proportional to 18,736 and 41,144 is: 90,351.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,736 : 41,144 = 41,144 : x
  2. Step 2: Convert to fraction form
    18,736/41,144 = 41,144/x
  3. Step 3: Cross multiply
    18,736x = 41,144 × 41,144
  4. Step 4: Simplify right side
    18,736x = 1,692,828,736
  5. Step 5: Solve for x
    x = 1,692,828,736/18,736
  6. Step 6: Final answer
    x = 90,351.66

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