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Finding the Third Proportional to 22.92 and 50.23

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Solution

The third proportional to 22.92 and 50.23 is: 110.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.92 : 50.23 = 50.23 : x
  2. Step 2: Convert to fraction form
    22.92/50.23 = 50.23/x
  3. Step 3: Cross multiply
    22.92x = 50.23 × 50.23
  4. Step 4: Simplify right side
    22.92x = 2,522.83
  5. Step 5: Solve for x
    x = 2,522.83/22.92
  6. Step 6: Final answer
    x = 110.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.