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Finding the Third Proportional to 6,758.44 and 14,439.52

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Solution

The third proportional to 6,758.44 and 14,439.52 is: 30,850.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,758.44 : 14,439.52 = 14,439.52 : x
  2. Step 2: Convert to fraction form
    6,758.44/14,439.52 = 14,439.52/x
  3. Step 3: Cross multiply
    6,758.44x = 14,439.52 × 14,439.52
  4. Step 4: Simplify right side
    6,758.44x = 208,499,611.48
  5. Step 5: Solve for x
    x = 208,499,611.48/6,758.44
  6. Step 6: Final answer
    x = 30,850.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.