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Finding the Third Proportional to 11,227 and 16,623

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Solution

The third proportional to 11,227 and 16,623 is: 24,612.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,227 : 16,623 = 16,623 : x
  2. Step 2: Convert to fraction form
    11,227/16,623 = 16,623/x
  3. Step 3: Cross multiply
    11,227x = 16,623 × 16,623
  4. Step 4: Simplify right side
    11,227x = 276,324,129
  5. Step 5: Solve for x
    x = 276,324,129/11,227
  6. Step 6: Final answer
    x = 24,612.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.