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Finding the Third Proportional to 5,667.75 and 11,622.09

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Solution

The third proportional to 5,667.75 and 11,622.09 is: 23,831.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,667.75 : 11,622.09 = 11,622.09 : x
  2. Step 2: Convert to fraction form
    5,667.75/11,622.09 = 11,622.09/x
  3. Step 3: Cross multiply
    5,667.75x = 11,622.09 × 11,622.09
  4. Step 4: Simplify right side
    5,667.75x = 135,073,063.13
  5. Step 5: Solve for x
    x = 135,073,063.13/5,667.75
  6. Step 6: Final answer
    x = 23,831.87

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.