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Finding the Third Proportional to 20,122 and 42,843

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Solution

The third proportional to 20,122 and 42,843 is: 91,219.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,122 : 42,843 = 42,843 : x
  2. Step 2: Convert to fraction form
    20,122/42,843 = 42,843/x
  3. Step 3: Cross multiply
    20,122x = 42,843 × 42,843
  4. Step 4: Simplify right side
    20,122x = 1,835,522,649
  5. Step 5: Solve for x
    x = 1,835,522,649/20,122
  6. Step 6: Final answer
    x = 91,219.69

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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.