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Finding the Third Proportional to 7.39 and 10.82

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Solution

The third proportional to 7.39 and 10.82 is: 15.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.39 : 10.82 = 10.82 : x
  2. Step 2: Convert to fraction form
    7.39/10.82 = 10.82/x
  3. Step 3: Cross multiply
    7.39x = 10.82 × 10.82
  4. Step 4: Simplify right side
    7.39x = 117.09
  5. Step 5: Solve for x
    x = 117.09/7.39
  6. Step 6: Final answer
    x = 15.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.