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Finding the Third Proportional to 3,762 and 8,273.25

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Solution

The third proportional to 3,762 and 8,273.25 is: 18,194.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762 : 8,273.25 = 8,273.25 : x
  2. Step 2: Convert to fraction form
    3,762/8,273.25 = 8,273.25/x
  3. Step 3: Cross multiply
    3,762x = 8,273.25 × 8,273.25
  4. Step 4: Simplify right side
    3,762x = 68,446,665.56
  5. Step 5: Solve for x
    x = 68,446,665.56/3,762
  6. Step 6: Final answer
    x = 18,194.22

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.