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Finding the Third Proportional to 17,742 and 27,228

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Solution

The third proportional to 17,742 and 27,228 is: 41,785.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,742 : 27,228 = 27,228 : x
  2. Step 2: Convert to fraction form
    17,742/27,228 = 27,228/x
  3. Step 3: Cross multiply
    17,742x = 27,228 × 27,228
  4. Step 4: Simplify right side
    17,742x = 741,363,984
  5. Step 5: Solve for x
    x = 741,363,984/17,742
  6. Step 6: Final answer
    x = 41,785.82

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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.