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Finding the Third Proportional to 3,796 and 5,770.75

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Solution

The third proportional to 3,796 and 5,770.75 is: 8,772.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796 : 5,770.75 = 5,770.75 : x
  2. Step 2: Convert to fraction form
    3,796/5,770.75 = 5,770.75/x
  3. Step 3: Cross multiply
    3,796x = 5,770.75 × 5,770.75
  4. Step 4: Simplify right side
    3,796x = 33,301,555.56
  5. Step 5: Solve for x
    x = 33,301,555.56/3,796
  6. Step 6: Final answer
    x = 8,772.80

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.