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Finding the Third Proportional to 5.66 and 10.08

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Solution

The third proportional to 5.66 and 10.08 is: 17.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.66 : 10.08 = 10.08 : x
  2. Step 2: Convert to fraction form
    5.66/10.08 = 10.08/x
  3. Step 3: Cross multiply
    5.66x = 10.08 × 10.08
  4. Step 4: Simplify right side
    5.66x = 101.62
  5. Step 5: Solve for x
    x = 101.62/5.66
  6. Step 6: Final answer
    x = 17.96

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.