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Finding the Third Proportional to 9,353.25 and 13,997.25

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Solution

The third proportional to 9,353.25 and 13,997.25 is: 20,947.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,353.25 : 13,997.25 = 13,997.25 : x
  2. Step 2: Convert to fraction form
    9,353.25/13,997.25 = 13,997.25/x
  3. Step 3: Cross multiply
    9,353.25x = 13,997.25 × 13,997.25
  4. Step 4: Simplify right side
    9,353.25x = 195,923,007.56
  5. Step 5: Solve for x
    x = 195,923,007.56/9,353.25
  6. Step 6: Final answer
    x = 20,947.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.