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Finding the Third Proportional to 5.37 and 11.73

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Solution

The third proportional to 5.37 and 11.73 is: 25.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.37 : 11.73 = 11.73 : x
  2. Step 2: Convert to fraction form
    5.37/11.73 = 11.73/x
  3. Step 3: Cross multiply
    5.37x = 11.73 × 11.73
  4. Step 4: Simplify right side
    5.37x = 137.63
  5. Step 5: Solve for x
    x = 137.63/5.37
  6. Step 6: Final answer
    x = 25.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.