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Finding the Third Proportional to 9.52 and 14.27

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Solution

The third proportional to 9.52 and 14.27 is: 21.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.52 : 14.27 = 14.27 : x
  2. Step 2: Convert to fraction form
    9.52/14.27 = 14.27/x
  3. Step 3: Cross multiply
    9.52x = 14.27 × 14.27
  4. Step 4: Simplify right side
    9.52x = 203.73
  5. Step 5: Solve for x
    x = 203.73/9.52
  6. Step 6: Final answer
    x = 21.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.