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Finding the Third Proportional to 8,811.75 and 11,961.75

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Solution

The third proportional to 8,811.75 and 11,961.75 is: 16,237.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,811.75 : 11,961.75 = 11,961.75 : x
  2. Step 2: Convert to fraction form
    8,811.75/11,961.75 = 11,961.75/x
  3. Step 3: Cross multiply
    8,811.75x = 11,961.75 × 11,961.75
  4. Step 4: Simplify right side
    8,811.75x = 143,083,463.06
  5. Step 5: Solve for x
    x = 143,083,463.06/8,811.75
  6. Step 6: Final answer
    x = 16,237.80

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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.