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Finding the Third Proportional to 49.17 and 105.80

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Solution

The third proportional to 49.17 and 105.80 is: 227.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.17 : 105.80 = 105.80 : x
  2. Step 2: Convert to fraction form
    49.17/105.80 = 105.80/x
  3. Step 3: Cross multiply
    49.17x = 105.80 × 105.80
  4. Step 4: Simplify right side
    49.17x = 11,192.98
  5. Step 5: Solve for x
    x = 11,192.98/49.17
  6. Step 6: Final answer
    x = 227.63

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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.