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Finding the Third Proportional to 17,274 and 26,745

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Solution

The third proportional to 17,274 and 26,745 is: 41,408.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,274 : 26,745 = 26,745 : x
  2. Step 2: Convert to fraction form
    17,274/26,745 = 26,745/x
  3. Step 3: Cross multiply
    17,274x = 26,745 × 26,745
  4. Step 4: Simplify right side
    17,274x = 715,295,025
  5. Step 5: Solve for x
    x = 715,295,025/17,274
  6. Step 6: Final answer
    x = 41,408.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.