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Finding the Third Proportional to 2,679.56 and 5,769.94

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Solution

The third proportional to 2,679.56 and 5,769.94 is: 12,424.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,679.56 : 5,769.94 = 5,769.94 : x
  2. Step 2: Convert to fraction form
    2,679.56/5,769.94 = 5,769.94/x
  3. Step 3: Cross multiply
    2,679.56x = 5,769.94 × 5,769.94
  4. Step 4: Simplify right side
    2,679.56x = 33,292,178.75
  5. Step 5: Solve for x
    x = 33,292,178.75/2,679.56
  6. Step 6: Final answer
    x = 12,424.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.