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Finding the Third Proportional to 4,238.44 and 8,596.69

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Solution

The third proportional to 4,238.44 and 8,596.69 is: 17,436.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,238.44 : 8,596.69 = 8,596.69 : x
  2. Step 2: Convert to fraction form
    4,238.44/8,596.69 = 8,596.69/x
  3. Step 3: Cross multiply
    4,238.44x = 8,596.69 × 8,596.69
  4. Step 4: Simplify right side
    4,238.44x = 73,903,035.97
  5. Step 5: Solve for x
    x = 73,903,035.97/4,238.44
  6. Step 6: Final answer
    x = 17,436.39

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.