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Finding the Third Proportional to 11,961.56 and 25,836.19

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Solution

The third proportional to 11,961.56 and 25,836.19 is: 55,804.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,961.56 : 25,836.19 = 25,836.19 : x
  2. Step 2: Convert to fraction form
    11,961.56/25,836.19 = 25,836.19/x
  3. Step 3: Cross multiply
    11,961.56x = 25,836.19 × 25,836.19
  4. Step 4: Simplify right side
    11,961.56x = 667,508,584.54
  5. Step 5: Solve for x
    x = 667,508,584.54/11,961.56
  6. Step 6: Final answer
    x = 55,804.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.