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Finding the Third Proportional to 3,678.94 and 5,183.09

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Solution

The third proportional to 3,678.94 and 5,183.09 is: 7,302.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.94 : 5,183.09 = 5,183.09 : x
  2. Step 2: Convert to fraction form
    3,678.94/5,183.09 = 5,183.09/x
  3. Step 3: Cross multiply
    3,678.94x = 5,183.09 × 5,183.09
  4. Step 4: Simplify right side
    3,678.94x = 26,864,460.82
  5. Step 5: Solve for x
    x = 26,864,460.82/3,678.94
  6. Step 6: Final answer
    x = 7,302.23

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.