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Finding the Third Proportional to 18,694 and 41,182

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Solution

The third proportional to 18,694 and 41,182 is: 90,722.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,694 : 41,182 = 41,182 : x
  2. Step 2: Convert to fraction form
    18,694/41,182 = 41,182/x
  3. Step 3: Cross multiply
    18,694x = 41,182 × 41,182
  4. Step 4: Simplify right side
    18,694x = 1,695,957,124
  5. Step 5: Solve for x
    x = 1,695,957,124/18,694
  6. Step 6: Final answer
    x = 90,722.00

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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.