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Finding the Third Proportional to 18.21 and 42.76

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Solution

The third proportional to 18.21 and 42.76 is: 100.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.21 : 42.76 = 42.76 : x
  2. Step 2: Convert to fraction form
    18.21/42.76 = 42.76/x
  3. Step 3: Cross multiply
    18.21x = 42.76 × 42.76
  4. Step 4: Simplify right side
    18.21x = 1,828.06
  5. Step 5: Solve for x
    x = 1,828.06/18.21
  6. Step 6: Final answer
    x = 100.38

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.