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Finding the Third Proportional to 17.36 and 35.67

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Solution

The third proportional to 17.36 and 35.67 is: 73.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.36 : 35.67 = 35.67 : x
  2. Step 2: Convert to fraction form
    17.36/35.67 = 35.67/x
  3. Step 3: Cross multiply
    17.36x = 35.67 × 35.67
  4. Step 4: Simplify right side
    17.36x = 1,272.36
  5. Step 5: Solve for x
    x = 1,272.36/17.36
  6. Step 6: Final answer
    x = 73.29

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.