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Finding the Third Proportional to 10,896.75 and 13,380.75

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Solution

The third proportional to 10,896.75 and 13,380.75 is: 16,431.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,896.75 : 13,380.75 = 13,380.75 : x
  2. Step 2: Convert to fraction form
    10,896.75/13,380.75 = 13,380.75/x
  3. Step 3: Cross multiply
    10,896.75x = 13,380.75 × 13,380.75
  4. Step 4: Simplify right side
    10,896.75x = 179,044,470.56
  5. Step 5: Solve for x
    x = 179,044,470.56/10,896.75
  6. Step 6: Final answer
    x = 16,431.00

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These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.