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Finding the Third Proportional to 10.97 and 15.73

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Solution

The third proportional to 10.97 and 15.73 is: 22.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.97 : 15.73 = 15.73 : x
  2. Step 2: Convert to fraction form
    10.97/15.73 = 15.73/x
  3. Step 3: Cross multiply
    10.97x = 15.73 × 15.73
  4. Step 4: Simplify right side
    10.97x = 247.33
  5. Step 5: Solve for x
    x = 247.33/10.97
  6. Step 6: Final answer
    x = 22.54

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.