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Finding the Third Proportional to 22.69 and 48.42

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Solution

The third proportional to 22.69 and 48.42 is: 103.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.69 : 48.42 = 48.42 : x
  2. Step 2: Convert to fraction form
    22.69/48.42 = 48.42/x
  3. Step 3: Cross multiply
    22.69x = 48.42 × 48.42
  4. Step 4: Simplify right side
    22.69x = 2,344.68
  5. Step 5: Solve for x
    x = 2,344.68/22.69
  6. Step 6: Final answer
    x = 103.35

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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.