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Finding the Third Proportional to 5.58 and 8.17

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Solution

The third proportional to 5.58 and 8.17 is: 11.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.58 : 8.17 = 8.17 : x
  2. Step 2: Convert to fraction form
    5.58/8.17 = 8.17/x
  3. Step 3: Cross multiply
    5.58x = 8.17 × 8.17
  4. Step 4: Simplify right side
    5.58x = 66.75
  5. Step 5: Solve for x
    x = 66.75/5.58
  6. Step 6: Final answer
    x = 11.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.