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Finding the Third Proportional to 18.19 and 42.56

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Solution

The third proportional to 18.19 and 42.56 is: 99.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.19 : 42.56 = 42.56 : x
  2. Step 2: Convert to fraction form
    18.19/42.56 = 42.56/x
  3. Step 3: Cross multiply
    18.19x = 42.56 × 42.56
  4. Step 4: Simplify right side
    18.19x = 1,811.57
  5. Step 5: Solve for x
    x = 1,811.57/18.19
  6. Step 6: Final answer
    x = 99.61

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.