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Finding the Third Proportional to 11,755.23 and 18,222.31

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Solution

The third proportional to 11,755.23 and 18,222.31 is: 28,247.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,755.23 : 18,222.31 = 18,222.31 : x
  2. Step 2: Convert to fraction form
    11,755.23/18,222.31 = 18,222.31/x
  3. Step 3: Cross multiply
    11,755.23x = 18,222.31 × 18,222.31
  4. Step 4: Simplify right side
    11,755.23x = 332,052,601.67
  5. Step 5: Solve for x
    x = 332,052,601.67/11,755.23
  6. Step 6: Final answer
    x = 28,247.22

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.