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Finding the Third Proportional to 2,115.59 and 3,288.71

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Solution

The third proportional to 2,115.59 and 3,288.71 is: 5,112.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.59 : 3,288.71 = 3,288.71 : x
  2. Step 2: Convert to fraction form
    2,115.59/3,288.71 = 3,288.71/x
  3. Step 3: Cross multiply
    2,115.59x = 3,288.71 × 3,288.71
  4. Step 4: Simplify right side
    2,115.59x = 10,815,608.59
  5. Step 5: Solve for x
    x = 10,815,608.59/2,115.59
  6. Step 6: Final answer
    x = 5,112.35

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.