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Finding the Third Proportional to 49.94 and 73.48

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Solution

The third proportional to 49.94 and 73.48 is: 108.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.94 : 73.48 = 73.48 : x
  2. Step 2: Convert to fraction form
    49.94/73.48 = 73.48/x
  3. Step 3: Cross multiply
    49.94x = 73.48 × 73.48
  4. Step 4: Simplify right side
    49.94x = 5,399.37
  5. Step 5: Solve for x
    x = 5,399.37/49.94
  6. Step 6: Final answer
    x = 108.12

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.