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Finding the Third Proportional to 3,067.88 and 4,662.56

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Solution

The third proportional to 3,067.88 and 4,662.56 is: 7,086.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,067.88 : 4,662.56 = 4,662.56 : x
  2. Step 2: Convert to fraction form
    3,067.88/4,662.56 = 4,662.56/x
  3. Step 3: Cross multiply
    3,067.88x = 4,662.56 × 4,662.56
  4. Step 4: Simplify right side
    3,067.88x = 21,739,489.07
  5. Step 5: Solve for x
    x = 21,739,489.07/3,067.88
  6. Step 6: Final answer
    x = 7,086.17

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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.