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Finding the Third Proportional to 8,233.88 and 10,947.38

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Solution

The third proportional to 8,233.88 and 10,947.38 is: 14,555.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,233.88 : 10,947.38 = 10,947.38 : x
  2. Step 2: Convert to fraction form
    8,233.88/10,947.38 = 10,947.38/x
  3. Step 3: Cross multiply
    8,233.88x = 10,947.38 × 10,947.38
  4. Step 4: Simplify right side
    8,233.88x = 119,845,019.39
  5. Step 5: Solve for x
    x = 119,845,019.39/8,233.88
  6. Step 6: Final answer
    x = 14,555.12

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.