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Finding the Third Proportional to 3,815.44 and 8,375.06

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Solution

The third proportional to 3,815.44 and 8,375.06 is: 18,383.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,815.44 : 8,375.06 = 8,375.06 : x
  2. Step 2: Convert to fraction form
    3,815.44/8,375.06 = 8,375.06/x
  3. Step 3: Cross multiply
    3,815.44x = 8,375.06 × 8,375.06
  4. Step 4: Simplify right side
    3,815.44x = 70,141,671.88
  5. Step 5: Solve for x
    x = 70,141,671.88/3,815.44
  6. Step 6: Final answer
    x = 18,383.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.