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Finding the Third Proportional to 11,067.75 and 21,831.75

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Solution

The third proportional to 11,067.75 and 21,831.75 is: 43,064.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,067.75 : 21,831.75 = 21,831.75 : x
  2. Step 2: Convert to fraction form
    11,067.75/21,831.75 = 21,831.75/x
  3. Step 3: Cross multiply
    11,067.75x = 21,831.75 × 21,831.75
  4. Step 4: Simplify right side
    11,067.75x = 476,625,308.06
  5. Step 5: Solve for x
    x = 476,625,308.06/11,067.75
  6. Step 6: Final answer
    x = 43,064.34

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.