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Finding the Third Proportional to 17.60 and 30.37

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Solution

The third proportional to 17.60 and 30.37 is: 52.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.60 : 30.37 = 30.37 : x
  2. Step 2: Convert to fraction form
    17.60/30.37 = 30.37/x
  3. Step 3: Cross multiply
    17.60x = 30.37 × 30.37
  4. Step 4: Simplify right side
    17.60x = 922.44
  5. Step 5: Solve for x
    x = 922.44/17.60
  6. Step 6: Final answer
    x = 52.42

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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.