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Finding the Third Proportional to 17.66 and 46.36

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Solution

The third proportional to 17.66 and 46.36 is: 121.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.66 : 46.36 = 46.36 : x
  2. Step 2: Convert to fraction form
    17.66/46.36 = 46.36/x
  3. Step 3: Cross multiply
    17.66x = 46.36 × 46.36
  4. Step 4: Simplify right side
    17.66x = 2,149.61
  5. Step 5: Solve for x
    x = 2,149.61/17.66
  6. Step 6: Final answer
    x = 121.75

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.