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Finding the Third Proportional to 20,194 and 43,268

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Solution

The third proportional to 20,194 and 43,268 is: 92,706.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,194 : 43,268 = 43,268 : x
  2. Step 2: Convert to fraction form
    20,194/43,268 = 43,268/x
  3. Step 3: Cross multiply
    20,194x = 43,268 × 43,268
  4. Step 4: Simplify right side
    20,194x = 1,872,119,824
  5. Step 5: Solve for x
    x = 1,872,119,824/20,194
  6. Step 6: Final answer
    x = 92,706.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.