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Finding the Third Proportional to 17,856 and 36,256

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Solution

The third proportional to 17,856 and 36,256 is: 73,616.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,856 : 36,256 = 36,256 : x
  2. Step 2: Convert to fraction form
    17,856/36,256 = 36,256/x
  3. Step 3: Cross multiply
    17,856x = 36,256 × 36,256
  4. Step 4: Simplify right side
    17,856x = 1,314,497,536
  5. Step 5: Solve for x
    x = 1,314,497,536/17,856
  6. Step 6: Final answer
    x = 73,616.57

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.