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Finding the Third Proportional to 22.87 and 50.80

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Solution

The third proportional to 22.87 and 50.80 is: 112.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.87 : 50.80 = 50.80 : x
  2. Step 2: Convert to fraction form
    22.87/50.80 = 50.80/x
  3. Step 3: Cross multiply
    22.87x = 50.80 × 50.80
  4. Step 4: Simplify right side
    22.87x = 2,580.72
  5. Step 5: Solve for x
    x = 2,580.72/22.87
  6. Step 6: Final answer
    x = 112.85

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.