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Finding the Third Proportional to 49.25 and 74.20

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Solution

The third proportional to 49.25 and 74.20 is: 111.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.25 : 74.20 = 74.20 : x
  2. Step 2: Convert to fraction form
    49.25/74.20 = 74.20/x
  3. Step 3: Cross multiply
    49.25x = 74.20 × 74.20
  4. Step 4: Simplify right side
    49.25x = 5,505.23
  5. Step 5: Solve for x
    x = 5,505.23/49.25
  6. Step 6: Final answer
    x = 111.77

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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.