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Finding the Third Proportional to 11,871.56 and 16,896.09

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Solution

The third proportional to 11,871.56 and 16,896.09 is: 24,047.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,871.56 : 16,896.09 = 16,896.09 : x
  2. Step 2: Convert to fraction form
    11,871.56/16,896.09 = 16,896.09/x
  3. Step 3: Cross multiply
    11,871.56x = 16,896.09 × 16,896.09
  4. Step 4: Simplify right side
    11,871.56x = 285,477,984.01
  5. Step 5: Solve for x
    x = 285,477,984.01/11,871.56
  6. Step 6: Final answer
    x = 24,047.21

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.