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Finding the Third Proportional to 20,109 and 42,889

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Solution

The third proportional to 20,109 and 42,889 is: 91,474.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,109 : 42,889 = 42,889 : x
  2. Step 2: Convert to fraction form
    20,109/42,889 = 42,889/x
  3. Step 3: Cross multiply
    20,109x = 42,889 × 42,889
  4. Step 4: Simplify right side
    20,109x = 1,839,466,321
  5. Step 5: Solve for x
    x = 1,839,466,321/20,109
  6. Step 6: Final answer
    x = 91,474.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.