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Finding the Third Proportional to 8.19 and 17.75

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Solution

The third proportional to 8.19 and 17.75 is: 38.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.19 : 17.75 = 17.75 : x
  2. Step 2: Convert to fraction form
    8.19/17.75 = 17.75/x
  3. Step 3: Cross multiply
    8.19x = 17.75 × 17.75
  4. Step 4: Simplify right side
    8.19x = 315.18
  5. Step 5: Solve for x
    x = 315.18/8.19
  6. Step 6: Final answer
    x = 38.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.