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Finding the Third Proportional to 2,081.27 and 4,458.68

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Solution

The third proportional to 2,081.27 and 4,458.68 is: 9,551.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.27 : 4,458.68 = 4,458.68 : x
  2. Step 2: Convert to fraction form
    2,081.27/4,458.68 = 4,458.68/x
  3. Step 3: Cross multiply
    2,081.27x = 4,458.68 × 4,458.68
  4. Step 4: Simplify right side
    2,081.27x = 19,879,824.56
  5. Step 5: Solve for x
    x = 19,879,824.56/2,081.27
  6. Step 6: Final answer
    x = 9,551.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.