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Finding the Third Proportional to 17,834 and 27,226

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Solution

The third proportional to 17,834 and 27,226 is: 41,564.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,834 : 27,226 = 27,226 : x
  2. Step 2: Convert to fraction form
    17,834/27,226 = 27,226/x
  3. Step 3: Cross multiply
    17,834x = 27,226 × 27,226
  4. Step 4: Simplify right side
    17,834x = 741,255,076
  5. Step 5: Solve for x
    x = 741,255,076/17,834
  6. Step 6: Final answer
    x = 41,564.15

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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.