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Finding the Third Proportional to 2,784.38 and 6,183.84

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Solution

The third proportional to 2,784.38 and 6,183.84 is: 13,733.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.38 : 6,183.84 = 6,183.84 : x
  2. Step 2: Convert to fraction form
    2,784.38/6,183.84 = 6,183.84/x
  3. Step 3: Cross multiply
    2,784.38x = 6,183.84 × 6,183.84
  4. Step 4: Simplify right side
    2,784.38x = 38,239,923.52
  5. Step 5: Solve for x
    x = 38,239,923.52/2,784.38
  6. Step 6: Final answer
    x = 13,733.75

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.