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Finding the Third Proportional to 5.38 and 7.91

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Solution

The third proportional to 5.38 and 7.91 is: 11.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.38 : 7.91 = 7.91 : x
  2. Step 2: Convert to fraction form
    5.38/7.91 = 7.91/x
  3. Step 3: Cross multiply
    5.38x = 7.91 × 7.91
  4. Step 4: Simplify right side
    5.38x = 62.57
  5. Step 5: Solve for x
    x = 62.57/5.38
  6. Step 6: Final answer
    x = 11.63

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.