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Finding the Third Proportional to 3,027.84 and 6,519.47

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Solution

The third proportional to 3,027.84 and 6,519.47 is: 14,037.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,027.84 : 6,519.47 = 6,519.47 : x
  2. Step 2: Convert to fraction form
    3,027.84/6,519.47 = 6,519.47/x
  3. Step 3: Cross multiply
    3,027.84x = 6,519.47 × 6,519.47
  4. Step 4: Simplify right side
    3,027.84x = 42,503,472.78
  5. Step 5: Solve for x
    x = 42,503,472.78/3,027.84
  6. Step 6: Final answer
    x = 14,037.54

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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.