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Finding the Third Proportional to 13,242 and 14,623.50

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Solution

The third proportional to 13,242 and 14,623.50 is: 16,149.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,242 : 14,623.50 = 14,623.50 : x
  2. Step 2: Convert to fraction form
    13,242/14,623.50 = 14,623.50/x
  3. Step 3: Cross multiply
    13,242x = 14,623.50 × 14,623.50
  4. Step 4: Simplify right side
    13,242x = 213,846,752.25
  5. Step 5: Solve for x
    x = 213,846,752.25/13,242
  6. Step 6: Final answer
    x = 16,149.13

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