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Finding the Third Proportional to 22.92 and 49.22

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Solution

The third proportional to 22.92 and 49.22 is: 105.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.92 : 49.22 = 49.22 : x
  2. Step 2: Convert to fraction form
    22.92/49.22 = 49.22/x
  3. Step 3: Cross multiply
    22.92x = 49.22 × 49.22
  4. Step 4: Simplify right side
    22.92x = 2,422.49
  5. Step 5: Solve for x
    x = 2,422.49/22.92
  6. Step 6: Final answer
    x = 105.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.