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Finding the Third Proportional to 12.23 and 17.93

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Solution

The third proportional to 12.23 and 17.93 is: 26.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.23 : 17.93 = 17.93 : x
  2. Step 2: Convert to fraction form
    12.23/17.93 = 17.93/x
  3. Step 3: Cross multiply
    12.23x = 17.93 × 17.93
  4. Step 4: Simplify right side
    12.23x = 321.47
  5. Step 5: Solve for x
    x = 321.47/12.23
  6. Step 6: Final answer
    x = 26.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.