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Finding the Third Proportional to 16,736 and 36,256

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Solution

The third proportional to 16,736 and 36,256 is: 78,543.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,736 : 36,256 = 36,256 : x
  2. Step 2: Convert to fraction form
    16,736/36,256 = 36,256/x
  3. Step 3: Cross multiply
    16,736x = 36,256 × 36,256
  4. Step 4: Simplify right side
    16,736x = 1,314,497,536
  5. Step 5: Solve for x
    x = 1,314,497,536/16,736
  6. Step 6: Final answer
    x = 78,543.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.