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Finding the Third Proportional to 18.14 and 43.88

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Solution

The third proportional to 18.14 and 43.88 is: 106.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.14 : 43.88 = 43.88 : x
  2. Step 2: Convert to fraction form
    18.14/43.88 = 43.88/x
  3. Step 3: Cross multiply
    18.14x = 43.88 × 43.88
  4. Step 4: Simplify right side
    18.14x = 1,925.02
  5. Step 5: Solve for x
    x = 1,925.02/18.14
  6. Step 6: Final answer
    x = 106.12

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.