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Finding the Third Proportional to 8,817.09 and 11,961.28

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Solution

The third proportional to 8,817.09 and 11,961.28 is: 16,226.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,817.09 : 11,961.28 = 11,961.28 : x
  2. Step 2: Convert to fraction form
    8,817.09/11,961.28 = 11,961.28/x
  3. Step 3: Cross multiply
    8,817.09x = 11,961.28 × 11,961.28
  4. Step 4: Simplify right side
    8,817.09x = 143,072,249.14
  5. Step 5: Solve for x
    x = 143,072,249.14/8,817.09
  6. Step 6: Final answer
    x = 16,226.69

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.