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Finding the Third Proportional to 1,329.75 and 1,991.25

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Solution

The third proportional to 1,329.75 and 1,991.25 is: 2,981.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.75 : 1,991.25 = 1,991.25 : x
  2. Step 2: Convert to fraction form
    1,329.75/1,991.25 = 1,991.25/x
  3. Step 3: Cross multiply
    1,329.75x = 1,991.25 × 1,991.25
  4. Step 4: Simplify right side
    1,329.75x = 3,965,076.56
  5. Step 5: Solve for x
    x = 3,965,076.56/1,329.75
  6. Step 6: Final answer
    x = 2,981.82

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