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Finding the Third Proportional to 26,564 and 57,227

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Solution

The third proportional to 26,564 and 57,227 is: 123,284.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,564 : 57,227 = 57,227 : x
  2. Step 2: Convert to fraction form
    26,564/57,227 = 57,227/x
  3. Step 3: Cross multiply
    26,564x = 57,227 × 57,227
  4. Step 4: Simplify right side
    26,564x = 3,274,929,529
  5. Step 5: Solve for x
    x = 3,274,929,529/26,564
  6. Step 6: Final answer
    x = 123,284.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.