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Finding the Third Proportional to 2.33 and 5.02

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Solution

The third proportional to 2.33 and 5.02 is: 10.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.33 : 5.02 = 5.02 : x
  2. Step 2: Convert to fraction form
    2.33/5.02 = 5.02/x
  3. Step 3: Cross multiply
    2.33x = 5.02 × 5.02
  4. Step 4: Simplify right side
    2.33x = 25.23
  5. Step 5: Solve for x
    x = 25.23/2.33
  6. Step 6: Final answer
    x = 10.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.