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Finding the Third Proportional to 43.69 and 103.22

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Solution

The third proportional to 43.69 and 103.22 is: 243.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.69 : 103.22 = 103.22 : x
  2. Step 2: Convert to fraction form
    43.69/103.22 = 103.22/x
  3. Step 3: Cross multiply
    43.69x = 103.22 × 103.22
  4. Step 4: Simplify right side
    43.69x = 10,654.11
  5. Step 5: Solve for x
    x = 10,654.11/43.69
  6. Step 6: Final answer
    x = 243.87

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.