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Finding the Third Proportional to 37.20 and 79.21

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Solution

The third proportional to 37.20 and 79.21 is: 168.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.20 : 79.21 = 79.21 : x
  2. Step 2: Convert to fraction form
    37.20/79.21 = 79.21/x
  3. Step 3: Cross multiply
    37.20x = 79.21 × 79.21
  4. Step 4: Simplify right side
    37.20x = 6,273.75
  5. Step 5: Solve for x
    x = 6,273.75/37.20
  6. Step 6: Final answer
    x = 168.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.