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Finding the Third Proportional to 2,633.37 and 5,769.71

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Solution

The third proportional to 2,633.37 and 5,769.71 is: 12,641.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,633.37 : 5,769.71 = 5,769.71 : x
  2. Step 2: Convert to fraction form
    2,633.37/5,769.71 = 5,769.71/x
  3. Step 3: Cross multiply
    2,633.37x = 5,769.71 × 5,769.71
  4. Step 4: Simplify right side
    2,633.37x = 33,289,524.86
  5. Step 5: Solve for x
    x = 33,289,524.86/2,633.37
  6. Step 6: Final answer
    x = 12,641.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.