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Finding the Third Proportional to 2.36 and 5.24

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Solution

The third proportional to 2.36 and 5.24 is: 11.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.36 : 5.24 = 5.24 : x
  2. Step 2: Convert to fraction form
    2.36/5.24 = 5.24/x
  3. Step 3: Cross multiply
    2.36x = 5.24 × 5.24
  4. Step 4: Simplify right side
    2.36x = 27.44
  5. Step 5: Solve for x
    x = 27.44/2.36
  6. Step 6: Final answer
    x = 11.65

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.