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Finding the Third Proportional to 37.75 and 79.25

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Solution

The third proportional to 37.75 and 79.25 is: 166.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.75 : 79.25 = 79.25 : x
  2. Step 2: Convert to fraction form
    37.75/79.25 = 79.25/x
  3. Step 3: Cross multiply
    37.75x = 79.25 × 79.25
  4. Step 4: Simplify right side
    37.75x = 6,280.56
  5. Step 5: Solve for x
    x = 6,280.56/37.75
  6. Step 6: Final answer
    x = 166.37

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.