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Finding the Third Proportional to 36.07 and 59.17

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Solution

The third proportional to 36.07 and 59.17 is: 97.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.07 : 59.17 = 59.17 : x
  2. Step 2: Convert to fraction form
    36.07/59.17 = 59.17/x
  3. Step 3: Cross multiply
    36.07x = 59.17 × 59.17
  4. Step 4: Simplify right side
    36.07x = 3,500.85
  5. Step 5: Solve for x
    x = 3,500.85/36.07
  6. Step 6: Final answer
    x = 97.06

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.