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Finding the Third Proportional to 11.72 and 15.23

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Solution

The third proportional to 11.72 and 15.23 is: 19.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.72 : 15.23 = 15.23 : x
  2. Step 2: Convert to fraction form
    11.72/15.23 = 15.23/x
  3. Step 3: Cross multiply
    11.72x = 15.23 × 15.23
  4. Step 4: Simplify right side
    11.72x = 232.01
  5. Step 5: Solve for x
    x = 232.01/11.72
  6. Step 6: Final answer
    x = 19.80

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.