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Finding the Third Proportional to 36.70 and 87.33

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Solution

The third proportional to 36.70 and 87.33 is: 207.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.70 : 87.33 = 87.33 : x
  2. Step 2: Convert to fraction form
    36.70/87.33 = 87.33/x
  3. Step 3: Cross multiply
    36.70x = 87.33 × 87.33
  4. Step 4: Simplify right side
    36.70x = 7,626.20
  5. Step 5: Solve for x
    x = 7,626.20/36.70
  6. Step 6: Final answer
    x = 207.78

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.