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Finding the Third Proportional to 13,369.50 and 19,163.25

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Solution

The third proportional to 13,369.50 and 19,163.25 is: 27,467.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,369.50 : 19,163.25 = 19,163.25 : x
  2. Step 2: Convert to fraction form
    13,369.50/19,163.25 = 19,163.25/x
  3. Step 3: Cross multiply
    13,369.50x = 19,163.25 × 19,163.25
  4. Step 4: Simplify right side
    13,369.50x = 367,230,150.56
  5. Step 5: Solve for x
    x = 367,230,150.56/13,369.50
  6. Step 6: Final answer
    x = 27,467.76

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.