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Finding the Third Proportional to 3,383.86 and 5,047.73

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Solution

The third proportional to 3,383.86 and 5,047.73 is: 7,529.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,383.86 : 5,047.73 = 5,047.73 : x
  2. Step 2: Convert to fraction form
    3,383.86/5,047.73 = 5,047.73/x
  3. Step 3: Cross multiply
    3,383.86x = 5,047.73 × 5,047.73
  4. Step 4: Simplify right side
    3,383.86x = 25,479,622.32
  5. Step 5: Solve for x
    x = 25,479,622.32/3,383.86
  6. Step 6: Final answer
    x = 7,529.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.