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Finding the Third Proportional to 10.91 and 23.24

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Solution

The third proportional to 10.91 and 23.24 is: 49.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.91 : 23.24 = 23.24 : x
  2. Step 2: Convert to fraction form
    10.91/23.24 = 23.24/x
  3. Step 3: Cross multiply
    10.91x = 23.24 × 23.24
  4. Step 4: Simplify right side
    10.91x = 540.29
  5. Step 5: Solve for x
    x = 540.29/10.91
  6. Step 6: Final answer
    x = 49.52

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.