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Finding the Third Proportional to 17.16 and 36.42

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Solution

The third proportional to 17.16 and 36.42 is: 77.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.16 : 36.42 = 36.42 : x
  2. Step 2: Convert to fraction form
    17.16/36.42 = 36.42/x
  3. Step 3: Cross multiply
    17.16x = 36.42 × 36.42
  4. Step 4: Simplify right side
    17.16x = 1,326.55
  5. Step 5: Solve for x
    x = 1,326.55/17.16
  6. Step 6: Final answer
    x = 77.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.