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Finding the Third Proportional to 14,227 and 21,983

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Solution

The third proportional to 14,227 and 21,983 is: 33,967.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,227 : 21,983 = 21,983 : x
  2. Step 2: Convert to fraction form
    14,227/21,983 = 21,983/x
  3. Step 3: Cross multiply
    14,227x = 21,983 × 21,983
  4. Step 4: Simplify right side
    14,227x = 483,252,289
  5. Step 5: Solve for x
    x = 483,252,289/14,227
  6. Step 6: Final answer
    x = 33,967.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.