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Finding the Third Proportional to 20,945 and 27,529

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Solution

The third proportional to 20,945 and 27,529 is: 36,182.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,945 : 27,529 = 27,529 : x
  2. Step 2: Convert to fraction form
    20,945/27,529 = 27,529/x
  3. Step 3: Cross multiply
    20,945x = 27,529 × 27,529
  4. Step 4: Simplify right side
    20,945x = 757,845,841
  5. Step 5: Solve for x
    x = 757,845,841/20,945
  6. Step 6: Final answer
    x = 36,182.66

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.