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Finding the Third Proportional to 6,754.64 and 13,843.41

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Solution

The third proportional to 6,754.64 and 13,843.41 is: 28,371.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,754.64 : 13,843.41 = 13,843.41 : x
  2. Step 2: Convert to fraction form
    6,754.64/13,843.41 = 13,843.41/x
  3. Step 3: Cross multiply
    6,754.64x = 13,843.41 × 13,843.41
  4. Step 4: Simplify right side
    6,754.64x = 191,639,896.60
  5. Step 5: Solve for x
    x = 191,639,896.60/6,754.64
  6. Step 6: Final answer
    x = 28,371.59

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.