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Finding the Third Proportional to 5,336.72 and 11,659.78

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Solution

The third proportional to 5,336.72 and 11,659.78 is: 25,474.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,336.72 : 11,659.78 = 11,659.78 : x
  2. Step 2: Convert to fraction form
    5,336.72/11,659.78 = 11,659.78/x
  3. Step 3: Cross multiply
    5,336.72x = 11,659.78 × 11,659.78
  4. Step 4: Simplify right side
    5,336.72x = 135,950,498.80
  5. Step 5: Solve for x
    x = 135,950,498.80/5,336.72
  6. Step 6: Final answer
    x = 25,474.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.