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Finding the Third Proportional to 49.54 and 74.95

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Solution

The third proportional to 49.54 and 74.95 is: 113.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.54 : 74.95 = 74.95 : x
  2. Step 2: Convert to fraction form
    49.54/74.95 = 74.95/x
  3. Step 3: Cross multiply
    49.54x = 74.95 × 74.95
  4. Step 4: Simplify right side
    49.54x = 5,617.97
  5. Step 5: Solve for x
    x = 5,617.97/49.54
  6. Step 6: Final answer
    x = 113.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.