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Finding the Third Proportional to 7.23 and 12.29

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Solution

The third proportional to 7.23 and 12.29 is: 20.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.23 : 12.29 = 12.29 : x
  2. Step 2: Convert to fraction form
    7.23/12.29 = 12.29/x
  3. Step 3: Cross multiply
    7.23x = 12.29 × 12.29
  4. Step 4: Simplify right side
    7.23x = 151.13
  5. Step 5: Solve for x
    x = 151.13/7.23
  6. Step 6: Final answer
    x = 20.90

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.