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Finding the Third Proportional to 11,763.67 and 18,222.15

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Solution

The third proportional to 11,763.67 and 18,222.15 is: 28,226.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,763.67 : 18,222.15 = 18,222.15 : x
  2. Step 2: Convert to fraction form
    11,763.67/18,222.15 = 18,222.15/x
  3. Step 3: Cross multiply
    11,763.67x = 18,222.15 × 18,222.15
  4. Step 4: Simplify right side
    11,763.67x = 332,046,836.04
  5. Step 5: Solve for x
    x = 332,046,836.04/11,763.67
  6. Step 6: Final answer
    x = 28,226.47

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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.