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Finding the Third Proportional to 22.11 and 48.48

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Solution

The third proportional to 22.11 and 48.48 is: 106.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.11 : 48.48 = 48.48 : x
  2. Step 2: Convert to fraction form
    22.11/48.48 = 48.48/x
  3. Step 3: Cross multiply
    22.11x = 48.48 × 48.48
  4. Step 4: Simplify right side
    22.11x = 2,350.36
  5. Step 5: Solve for x
    x = 2,350.36/22.11
  6. Step 6: Final answer
    x = 106.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.