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Finding the Third Proportional to 9.62 and 15.39

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Solution

The third proportional to 9.62 and 15.39 is: 24.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.62 : 15.39 = 15.39 : x
  2. Step 2: Convert to fraction form
    9.62/15.39 = 15.39/x
  3. Step 3: Cross multiply
    9.62x = 15.39 × 15.39
  4. Step 4: Simplify right side
    9.62x = 237.00
  5. Step 5: Solve for x
    x = 237.00/9.62
  6. Step 6: Final answer
    x = 24.63

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.