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Finding the Third Proportional to 2,365.17 and 3,279.80

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Solution

The third proportional to 2,365.17 and 3,279.80 is: 4,548.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.17 : 3,279.80 = 3,279.80 : x
  2. Step 2: Convert to fraction form
    2,365.17/3,279.80 = 3,279.80/x
  3. Step 3: Cross multiply
    2,365.17x = 3,279.80 × 3,279.80
  4. Step 4: Simplify right side
    2,365.17x = 10,757,067.54
  5. Step 5: Solve for x
    x = 10,757,067.54/2,365.17
  6. Step 6: Final answer
    x = 4,548.11

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.