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Finding the Third Proportional to 2,063.44 and 4,297.88

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Solution

The third proportional to 2,063.44 and 4,297.88 is: 8,951.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.44 : 4,297.88 = 4,297.88 : x
  2. Step 2: Convert to fraction form
    2,063.44/4,297.88 = 4,297.88/x
  3. Step 3: Cross multiply
    2,063.44x = 4,297.88 × 4,297.88
  4. Step 4: Simplify right side
    2,063.44x = 18,471,729.52
  5. Step 5: Solve for x
    x = 18,471,729.52/2,063.44
  6. Step 6: Final answer
    x = 8,951.92

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.