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Finding the Third Proportional to 12,996 and 19,500.75

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Solution

The third proportional to 12,996 and 19,500.75 is: 29,261.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,996 : 19,500.75 = 19,500.75 : x
  2. Step 2: Convert to fraction form
    12,996/19,500.75 = 19,500.75/x
  3. Step 3: Cross multiply
    12,996x = 19,500.75 × 19,500.75
  4. Step 4: Simplify right side
    12,996x = 380,279,250.56
  5. Step 5: Solve for x
    x = 380,279,250.56/12,996
  6. Step 6: Final answer
    x = 29,261.25

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