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Finding the Third Proportional to 8.12 and 17.51

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Solution

The third proportional to 8.12 and 17.51 is: 37.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.12 : 17.51 = 17.51 : x
  2. Step 2: Convert to fraction form
    8.12/17.51 = 17.51/x
  3. Step 3: Cross multiply
    8.12x = 17.51 × 17.51
  4. Step 4: Simplify right side
    8.12x = 306.52
  5. Step 5: Solve for x
    x = 306.52/8.12
  6. Step 6: Final answer
    x = 37.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.