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Finding the Third Proportional to 8,201.25 and 17,427.66

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Solution

The third proportional to 8,201.25 and 17,427.66 is: 37,033.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.25 : 17,427.66 = 17,427.66 : x
  2. Step 2: Convert to fraction form
    8,201.25/17,427.66 = 17,427.66/x
  3. Step 3: Cross multiply
    8,201.25x = 17,427.66 × 17,427.66
  4. Step 4: Simplify right side
    8,201.25x = 303,723,202.37
  5. Step 5: Solve for x
    x = 303,723,202.37/8,201.25
  6. Step 6: Final answer
    x = 37,033.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.