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Finding the Third Proportional to 36.07 and 76.15

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Solution

The third proportional to 36.07 and 76.15 is: 160.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.07 : 76.15 = 76.15 : x
  2. Step 2: Convert to fraction form
    36.07/76.15 = 76.15/x
  3. Step 3: Cross multiply
    36.07x = 76.15 × 76.15
  4. Step 4: Simplify right side
    36.07x = 5,798.58
  5. Step 5: Solve for x
    x = 5,798.58/36.07
  6. Step 6: Final answer
    x = 160.76

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.