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Finding the Third Proportional to 7.23 and 15.73

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Solution

The third proportional to 7.23 and 15.73 is: 34.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.23 : 15.73 = 15.73 : x
  2. Step 2: Convert to fraction form
    7.23/15.73 = 15.73/x
  3. Step 3: Cross multiply
    7.23x = 15.73 × 15.73
  4. Step 4: Simplify right side
    7.23x = 247.44
  5. Step 5: Solve for x
    x = 247.44/7.23
  6. Step 6: Final answer
    x = 34.22

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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.