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Finding the Third Proportional to 22.90 and 50.43

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Solution

The third proportional to 22.90 and 50.43 is: 111.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.90 : 50.43 = 50.43 : x
  2. Step 2: Convert to fraction form
    22.90/50.43 = 50.43/x
  3. Step 3: Cross multiply
    22.90x = 50.43 × 50.43
  4. Step 4: Simplify right side
    22.90x = 2,542.91
  5. Step 5: Solve for x
    x = 2,542.91/22.90
  6. Step 6: Final answer
    x = 111.04

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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.