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Finding the Third Proportional to 31,074 and 48,226.50

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Solution

The third proportional to 31,074 and 48,226.50 is: 74,846.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,074 : 48,226.50 = 48,226.50 : x
  2. Step 2: Convert to fraction form
    31,074/48,226.50 = 48,226.50/x
  3. Step 3: Cross multiply
    31,074x = 48,226.50 × 48,226.50
  4. Step 4: Simplify right side
    31,074x = 2,325,795,302.25
  5. Step 5: Solve for x
    x = 2,325,795,302.25/31,074
  6. Step 6: Final answer
    x = 74,846.99

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