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Finding the Third Proportional to 6.34 and 8.24

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Solution

The third proportional to 6.34 and 8.24 is: 10.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.34 : 8.24 = 8.24 : x
  2. Step 2: Convert to fraction form
    6.34/8.24 = 8.24/x
  3. Step 3: Cross multiply
    6.34x = 8.24 × 8.24
  4. Step 4: Simplify right side
    6.34x = 67.96
  5. Step 5: Solve for x
    x = 67.96/6.34
  6. Step 6: Final answer
    x = 10.72

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.