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Finding the Third Proportional to 20,000 and 21,836

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Solution

The third proportional to 20,000 and 21,836 is: 23,840.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,000 : 21,836 = 21,836 : x
  2. Step 2: Convert to fraction form
    20,000/21,836 = 21,836/x
  3. Step 3: Cross multiply
    20,000x = 21,836 × 21,836
  4. Step 4: Simplify right side
    20,000x = 476,810,896
  5. Step 5: Solve for x
    x = 476,810,896/20,000
  6. Step 6: Final answer
    x = 23,840.54

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.