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Finding the Third Proportional to 9.52 and 14.39

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Solution

The third proportional to 9.52 and 14.39 is: 21.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.52 : 14.39 = 14.39 : x
  2. Step 2: Convert to fraction form
    9.52/14.39 = 14.39/x
  3. Step 3: Cross multiply
    9.52x = 14.39 × 14.39
  4. Step 4: Simplify right side
    9.52x = 207.09
  5. Step 5: Solve for x
    x = 207.09/9.52
  6. Step 6: Final answer
    x = 21.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.