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Finding the Third Proportional to 5,667.75 and 12,155.06

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Solution

The third proportional to 5,667.75 and 12,155.06 is: 26,067.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,667.75 : 12,155.06 = 12,155.06 : x
  2. Step 2: Convert to fraction form
    5,667.75/12,155.06 = 12,155.06/x
  3. Step 3: Cross multiply
    5,667.75x = 12,155.06 × 12,155.06
  4. Step 4: Simplify right side
    5,667.75x = 147,745,544.38
  5. Step 5: Solve for x
    x = 147,745,544.38/5,667.75
  6. Step 6: Final answer
    x = 26,067.76

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.