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Finding the Third Proportional to 22.43 and 48.65

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Solution

The third proportional to 22.43 and 48.65 is: 105.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.43 : 48.65 = 48.65 : x
  2. Step 2: Convert to fraction form
    22.43/48.65 = 48.65/x
  3. Step 3: Cross multiply
    22.43x = 48.65 × 48.65
  4. Step 4: Simplify right side
    22.43x = 2,367.30
  5. Step 5: Solve for x
    x = 2,367.30/22.43
  6. Step 6: Final answer
    x = 105.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.