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Finding the Third Proportional to 11,942.44 and 25,831.41

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Solution

The third proportional to 11,942.44 and 25,831.41 is: 55,873.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,942.44 : 25,831.41 = 25,831.41 : x
  2. Step 2: Convert to fraction form
    11,942.44/25,831.41 = 25,831.41/x
  3. Step 3: Cross multiply
    11,942.44x = 25,831.41 × 25,831.41
  4. Step 4: Simplify right side
    11,942.44x = 667,261,548.85
  5. Step 5: Solve for x
    x = 667,261,548.85/11,942.44
  6. Step 6: Final answer
    x = 55,873.15

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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.