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Finding the Third Proportional to 6.08 and 8.51

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Solution

The third proportional to 6.08 and 8.51 is: 11.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.08 : 8.51 = 8.51 : x
  2. Step 2: Convert to fraction form
    6.08/8.51 = 8.51/x
  3. Step 3: Cross multiply
    6.08x = 8.51 × 8.51
  4. Step 4: Simplify right side
    6.08x = 72.38
  5. Step 5: Solve for x
    x = 72.38/6.08
  6. Step 6: Final answer
    x = 11.91

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.