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Finding the Third Proportional to 4.24 and 10.26

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Solution

The third proportional to 4.24 and 10.26 is: 24.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.24 : 10.26 = 10.26 : x
  2. Step 2: Convert to fraction form
    4.24/10.26 = 10.26/x
  3. Step 3: Cross multiply
    4.24x = 10.26 × 10.26
  4. Step 4: Simplify right side
    4.24x = 105.31
  5. Step 5: Solve for x
    x = 105.31/4.24
  6. Step 6: Final answer
    x = 24.87

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.