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Finding the Third Proportional to 2,282.57 and 4,473.85

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Solution

The third proportional to 2,282.57 and 4,473.85 is: 8,768.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.57 : 4,473.85 = 4,473.85 : x
  2. Step 2: Convert to fraction form
    2,282.57/4,473.85 = 4,473.85/x
  3. Step 3: Cross multiply
    2,282.57x = 4,473.85 × 4,473.85
  4. Step 4: Simplify right side
    2,282.57x = 20,015,297.56
  5. Step 5: Solve for x
    x = 20,015,297.56/2,282.57
  6. Step 6: Final answer
    x = 8,768.74

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.