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Finding the Third Proportional to 22.36 and 41.13

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Solution

The third proportional to 22.36 and 41.13 is: 75.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.36 : 41.13 = 41.13 : x
  2. Step 2: Convert to fraction form
    22.36/41.13 = 41.13/x
  3. Step 3: Cross multiply
    22.36x = 41.13 × 41.13
  4. Step 4: Simplify right side
    22.36x = 1,691.91
  5. Step 5: Solve for x
    x = 1,691.91/22.36
  6. Step 6: Final answer
    x = 75.67

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.