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Finding the Third Proportional to 3,268.69 and 4,667.63

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Solution

The third proportional to 3,268.69 and 4,667.63 is: 6,665.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,268.69 : 4,667.63 = 4,667.63 : x
  2. Step 2: Convert to fraction form
    3,268.69/4,667.63 = 4,667.63/x
  3. Step 3: Cross multiply
    3,268.69x = 4,667.63 × 4,667.63
  4. Step 4: Simplify right side
    3,268.69x = 21,786,723.14
  5. Step 5: Solve for x
    x = 21,786,723.14/3,268.69
  6. Step 6: Final answer
    x = 6,665.28

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.