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Finding the Third Proportional to 19,997 and 44,162

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Solution

The third proportional to 19,997 and 44,162 is: 97,528.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,997 : 44,162 = 44,162 : x
  2. Step 2: Convert to fraction form
    19,997/44,162 = 44,162/x
  3. Step 3: Cross multiply
    19,997x = 44,162 × 44,162
  4. Step 4: Simplify right side
    19,997x = 1,950,282,244
  5. Step 5: Solve for x
    x = 1,950,282,244/19,997
  6. Step 6: Final answer
    x = 97,528.74

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.