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Finding the Third Proportional to 17.36 and 29.96

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Solution

The third proportional to 17.36 and 29.96 is: 51.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.36 : 29.96 = 29.96 : x
  2. Step 2: Convert to fraction form
    17.36/29.96 = 29.96/x
  3. Step 3: Cross multiply
    17.36x = 29.96 × 29.96
  4. Step 4: Simplify right side
    17.36x = 897.77
  5. Step 5: Solve for x
    x = 897.77/17.36
  6. Step 6: Final answer
    x = 51.72

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.