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Finding the Third Proportional to 13,988.25 and 27,267.75

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Solution

The third proportional to 13,988.25 and 27,267.75 is: 53,153.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,988.25 : 27,267.75 = 27,267.75 : x
  2. Step 2: Convert to fraction form
    13,988.25/27,267.75 = 27,267.75/x
  3. Step 3: Cross multiply
    13,988.25x = 27,267.75 × 27,267.75
  4. Step 4: Simplify right side
    13,988.25x = 743,530,190.06
  5. Step 5: Solve for x
    x = 743,530,190.06/13,988.25
  6. Step 6: Final answer
    x = 53,153.91

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.