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Finding the Third Proportional to 17,736 and 36,381

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Solution

The third proportional to 17,736 and 36,381 is: 74,626.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,736 : 36,381 = 36,381 : x
  2. Step 2: Convert to fraction form
    17,736/36,381 = 36,381/x
  3. Step 3: Cross multiply
    17,736x = 36,381 × 36,381
  4. Step 4: Simplify right side
    17,736x = 1,323,577,161
  5. Step 5: Solve for x
    x = 1,323,577,161/17,736
  6. Step 6: Final answer
    x = 74,626.59

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.