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Finding the Third Proportional to 17.30 and 43.59

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Solution

The third proportional to 17.30 and 43.59 is: 109.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.30 : 43.59 = 43.59 : x
  2. Step 2: Convert to fraction form
    17.30/43.59 = 43.59/x
  3. Step 3: Cross multiply
    17.30x = 43.59 × 43.59
  4. Step 4: Simplify right side
    17.30x = 1,900.42
  5. Step 5: Solve for x
    x = 1,900.42/17.30
  6. Step 6: Final answer
    x = 109.87

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Why These Related Problems?

These problems maintain the same ratio (2.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.