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Finding the Third Proportional to 6.93 and 15.22

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Solution

The third proportional to 6.93 and 15.22 is: 33.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.93 : 15.22 = 15.22 : x
  2. Step 2: Convert to fraction form
    6.93/15.22 = 15.22/x
  3. Step 3: Cross multiply
    6.93x = 15.22 × 15.22
  4. Step 4: Simplify right side
    6.93x = 231.64
  5. Step 5: Solve for x
    x = 231.64/6.93
  6. Step 6: Final answer
    x = 33.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.