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Finding the Third Proportional to 36.70 and 79.03

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Solution

The third proportional to 36.70 and 79.03 is: 170.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.70 : 79.03 = 79.03 : x
  2. Step 2: Convert to fraction form
    36.70/79.03 = 79.03/x
  3. Step 3: Cross multiply
    36.70x = 79.03 × 79.03
  4. Step 4: Simplify right side
    36.70x = 6,245.94
  5. Step 5: Solve for x
    x = 6,245.94/36.70
  6. Step 6: Final answer
    x = 170.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.