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Finding the Third Proportional to 37.73 and 74.04

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Solution

The third proportional to 37.73 and 74.04 is: 145.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.73 : 74.04 = 74.04 : x
  2. Step 2: Convert to fraction form
    37.73/74.04 = 74.04/x
  3. Step 3: Cross multiply
    37.73x = 74.04 × 74.04
  4. Step 4: Simplify right side
    37.73x = 5,481.78
  5. Step 5: Solve for x
    x = 5,481.78/37.73
  6. Step 6: Final answer
    x = 145.28

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.