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Finding the Third Proportional to 8.03 and 17.10

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Solution

The third proportional to 8.03 and 17.10 is: 36.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.03 : 17.10 = 17.10 : x
  2. Step 2: Convert to fraction form
    8.03/17.10 = 17.10/x
  3. Step 3: Cross multiply
    8.03x = 17.10 × 17.10
  4. Step 4: Simplify right side
    8.03x = 292.40
  5. Step 5: Solve for x
    x = 292.40/8.03
  6. Step 6: Final answer
    x = 36.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.