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Finding the Third Proportional to 2,769.56 and 6,002.44

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Solution

The third proportional to 2,769.56 and 6,002.44 is: 13,009.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.56 : 6,002.44 = 6,002.44 : x
  2. Step 2: Convert to fraction form
    2,769.56/6,002.44 = 6,002.44/x
  3. Step 3: Cross multiply
    2,769.56x = 6,002.44 × 6,002.44
  4. Step 4: Simplify right side
    2,769.56x = 36,029,255.94
  5. Step 5: Solve for x
    x = 36,029,255.94/2,769.56
  6. Step 6: Final answer
    x = 13,009.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.