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Finding the Third Proportional to 9,214 and 14,227

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Solution

The third proportional to 9,214 and 14,227 is: 21,967.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,214 : 14,227 = 14,227 : x
  2. Step 2: Convert to fraction form
    9,214/14,227 = 14,227/x
  3. Step 3: Cross multiply
    9,214x = 14,227 × 14,227
  4. Step 4: Simplify right side
    9,214x = 202,407,529
  5. Step 5: Solve for x
    x = 202,407,529/9,214
  6. Step 6: Final answer
    x = 21,967.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.