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Finding the Third Proportional to 13,745.75 and 19,183.44

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Solution

The third proportional to 13,745.75 and 19,183.44 is: 26,772.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,745.75 : 19,183.44 = 19,183.44 : x
  2. Step 2: Convert to fraction form
    13,745.75/19,183.44 = 19,183.44/x
  3. Step 3: Cross multiply
    13,745.75x = 19,183.44 × 19,183.44
  4. Step 4: Simplify right side
    13,745.75x = 368,004,274.32
  5. Step 5: Solve for x
    x = 368,004,274.32/13,745.75
  6. Step 6: Final answer
    x = 26,772.22

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.