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Finding the Third Proportional to 11,871.56 and 25,489.69

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Solution

The third proportional to 11,871.56 and 25,489.69 is: 54,729.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,871.56 : 25,489.69 = 25,489.69 : x
  2. Step 2: Convert to fraction form
    11,871.56/25,489.69 = 25,489.69/x
  3. Step 3: Cross multiply
    11,871.56x = 25,489.69 × 25,489.69
  4. Step 4: Simplify right side
    11,871.56x = 649,724,168.85
  5. Step 5: Solve for x
    x = 649,724,168.85/11,871.56
  6. Step 6: Final answer
    x = 54,729.46

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.