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Finding the Third Proportional to 5.92 and 6.84

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Solution

The third proportional to 5.92 and 6.84 is: 7.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.92 : 6.84 = 6.84 : x
  2. Step 2: Convert to fraction form
    5.92/6.84 = 6.84/x
  3. Step 3: Cross multiply
    5.92x = 6.84 × 6.84
  4. Step 4: Simplify right side
    5.92x = 46.81
  5. Step 5: Solve for x
    x = 46.81/5.92
  6. Step 6: Final answer
    x = 7.90

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.