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Finding the Third Proportional to 5.37 and 12.33

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Solution

The third proportional to 5.37 and 12.33 is: 28.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.37 : 12.33 = 12.33 : x
  2. Step 2: Convert to fraction form
    5.37/12.33 = 12.33/x
  3. Step 3: Cross multiply
    5.37x = 12.33 × 12.33
  4. Step 4: Simplify right side
    5.37x = 152.02
  5. Step 5: Solve for x
    x = 152.02/5.37
  6. Step 6: Final answer
    x = 28.33

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.