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Finding the Third Proportional to 3.79 and 10.24

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Solution

The third proportional to 3.79 and 10.24 is: 27.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.79 : 10.24 = 10.24 : x
  2. Step 2: Convert to fraction form
    3.79/10.24 = 10.24/x
  3. Step 3: Cross multiply
    3.79x = 10.24 × 10.24
  4. Step 4: Simplify right side
    3.79x = 104.87
  5. Step 5: Solve for x
    x = 104.87/3.79
  6. Step 6: Final answer
    x = 27.64

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.