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Finding the Third Proportional to 20,018 and 43,062

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Solution

The third proportional to 20,018 and 43,062 is: 92,633.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,018 : 43,062 = 43,062 : x
  2. Step 2: Convert to fraction form
    20,018/43,062 = 43,062/x
  3. Step 3: Cross multiply
    20,018x = 43,062 × 43,062
  4. Step 4: Simplify right side
    20,018x = 1,854,335,844
  5. Step 5: Solve for x
    x = 1,854,335,844/20,018
  6. Step 6: Final answer
    x = 92,633.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.