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Finding the Third Proportional to 5.46 and 7.68

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Solution

The third proportional to 5.46 and 7.68 is: 10.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.46 : 7.68 = 7.68 : x
  2. Step 2: Convert to fraction form
    5.46/7.68 = 7.68/x
  3. Step 3: Cross multiply
    5.46x = 7.68 × 7.68
  4. Step 4: Simplify right side
    5.46x = 59.02
  5. Step 5: Solve for x
    x = 59.02/5.46
  6. Step 6: Final answer
    x = 10.82

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.