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Finding the Third Proportional to 20,009 and 32,529

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Solution

The third proportional to 20,009 and 32,529 is: 52,882.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,009 : 32,529 = 32,529 : x
  2. Step 2: Convert to fraction form
    20,009/32,529 = 32,529/x
  3. Step 3: Cross multiply
    20,009x = 32,529 × 32,529
  4. Step 4: Simplify right side
    20,009x = 1,058,135,841
  5. Step 5: Solve for x
    x = 1,058,135,841/20,009
  6. Step 6: Final answer
    x = 52,882.99

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.