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Finding the Third Proportional to 20,536 and 43,218

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Solution

The third proportional to 20,536 and 43,218 is: 90,952.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,536 : 43,218 = 43,218 : x
  2. Step 2: Convert to fraction form
    20,536/43,218 = 43,218/x
  3. Step 3: Cross multiply
    20,536x = 43,218 × 43,218
  4. Step 4: Simplify right side
    20,536x = 1,867,795,524
  5. Step 5: Solve for x
    x = 1,867,795,524/20,536
  6. Step 6: Final answer
    x = 90,952.26

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.