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Finding the Third Proportional to 22.06 and 48.44

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Solution

The third proportional to 22.06 and 48.44 is: 106.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.06 : 48.44 = 48.44 : x
  2. Step 2: Convert to fraction form
    22.06/48.44 = 48.44/x
  3. Step 3: Cross multiply
    22.06x = 48.44 × 48.44
  4. Step 4: Simplify right side
    22.06x = 2,346.19
  5. Step 5: Solve for x
    x = 2,346.19/22.06
  6. Step 6: Final answer
    x = 106.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.