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Finding the Third Proportional to 1,493.44 and 2,286.98

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Solution

The third proportional to 1,493.44 and 2,286.98 is: 3,502.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.44 : 2,286.98 = 2,286.98 : x
  2. Step 2: Convert to fraction form
    1,493.44/2,286.98 = 2,286.98/x
  3. Step 3: Cross multiply
    1,493.44x = 2,286.98 × 2,286.98
  4. Step 4: Simplify right side
    1,493.44x = 5,230,297.53
  5. Step 5: Solve for x
    x = 5,230,297.53/1,493.44
  6. Step 6: Final answer
    x = 3,502.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.