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Finding the Third Proportional to 20,194 and 42,593

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Solution

The third proportional to 20,194 and 42,593 is: 89,836.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,194 : 42,593 = 42,593 : x
  2. Step 2: Convert to fraction form
    20,194/42,593 = 42,593/x
  3. Step 3: Cross multiply
    20,194x = 42,593 × 42,593
  4. Step 4: Simplify right side
    20,194x = 1,814,163,649
  5. Step 5: Solve for x
    x = 1,814,163,649/20,194
  6. Step 6: Final answer
    x = 89,836.77

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.