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Finding the Third Proportional to 18,543.94 and 41,234.06

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Solution

The third proportional to 18,543.94 and 41,234.06 is: 91,687.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,543.94 : 41,234.06 = 41,234.06 : x
  2. Step 2: Convert to fraction form
    18,543.94/41,234.06 = 41,234.06/x
  3. Step 3: Cross multiply
    18,543.94x = 41,234.06 × 41,234.06
  4. Step 4: Simplify right side
    18,543.94x = 1,700,247,910.25
  5. Step 5: Solve for x
    x = 1,700,247,910.25/18,543.94
  6. Step 6: Final answer
    x = 91,687.53

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.