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Finding the Third Proportional to 17.58 and 23.73

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Solution

The third proportional to 17.58 and 23.73 is: 32.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.58 : 23.73 = 23.73 : x
  2. Step 2: Convert to fraction form
    17.58/23.73 = 23.73/x
  3. Step 3: Cross multiply
    17.58x = 23.73 × 23.73
  4. Step 4: Simplify right side
    17.58x = 562.94
  5. Step 5: Solve for x
    x = 562.94/17.58
  6. Step 6: Final answer
    x = 32.03

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.