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Finding the Third Proportional to 18,134 and 27,742

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Solution

The third proportional to 18,134 and 27,742 is: 42,440.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,134 : 27,742 = 27,742 : x
  2. Step 2: Convert to fraction form
    18,134/27,742 = 27,742/x
  3. Step 3: Cross multiply
    18,134x = 27,742 × 27,742
  4. Step 4: Simplify right side
    18,134x = 769,618,564
  5. Step 5: Solve for x
    x = 769,618,564/18,134
  6. Step 6: Final answer
    x = 42,440.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.