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Finding the Third Proportional to 3.76 and 8.24

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Solution

The third proportional to 3.76 and 8.24 is: 18.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.76 : 8.24 = 8.24 : x
  2. Step 2: Convert to fraction form
    3.76/8.24 = 8.24/x
  3. Step 3: Cross multiply
    3.76x = 8.24 × 8.24
  4. Step 4: Simplify right side
    3.76x = 67.87
  5. Step 5: Solve for x
    x = 67.87/3.76
  6. Step 6: Final answer
    x = 18.06

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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.