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Finding the Third Proportional to 3.70 and 8.13

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Solution

The third proportional to 3.70 and 8.13 is: 17.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.70 : 8.13 = 8.13 : x
  2. Step 2: Convert to fraction form
    3.70/8.13 = 8.13/x
  3. Step 3: Cross multiply
    3.70x = 8.13 × 8.13
  4. Step 4: Simplify right side
    3.70x = 66.04
  5. Step 5: Solve for x
    x = 66.04/3.70
  6. Step 6: Final answer
    x = 17.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.