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Finding the Third Proportional to 23.11 and 50.53

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Solution

The third proportional to 23.11 and 50.53 is: 110.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.11 : 50.53 = 50.53 : x
  2. Step 2: Convert to fraction form
    23.11/50.53 = 50.53/x
  3. Step 3: Cross multiply
    23.11x = 50.53 × 50.53
  4. Step 4: Simplify right side
    23.11x = 2,553.41
  5. Step 5: Solve for x
    x = 2,553.41/23.11
  6. Step 6: Final answer
    x = 110.49

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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.