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Finding the Third Proportional to 23.49 and 50.46

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Solution

The third proportional to 23.49 and 50.46 is: 108.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.49 : 50.46 = 50.46 : x
  2. Step 2: Convert to fraction form
    23.49/50.46 = 50.46/x
  3. Step 3: Cross multiply
    23.49x = 50.46 × 50.46
  4. Step 4: Simplify right side
    23.49x = 2,545.90
  5. Step 5: Solve for x
    x = 2,545.90/23.49
  6. Step 6: Final answer
    x = 108.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.