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Finding the Third Proportional to 1,339.82 and 2,743.72

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Solution

The third proportional to 1,339.82 and 2,743.72 is: 5,618.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.82 : 2,743.72 = 2,743.72 : x
  2. Step 2: Convert to fraction form
    1,339.82/2,743.72 = 2,743.72/x
  3. Step 3: Cross multiply
    1,339.82x = 2,743.72 × 2,743.72
  4. Step 4: Simplify right side
    1,339.82x = 7,527,981.86
  5. Step 5: Solve for x
    x = 7,527,981.86/1,339.82
  6. Step 6: Final answer
    x = 5,618.64

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.