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Finding the Third Proportional to 18,192 and 35,529

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Solution

The third proportional to 18,192 and 35,529 is: 69,388.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,192 : 35,529 = 35,529 : x
  2. Step 2: Convert to fraction form
    18,192/35,529 = 35,529/x
  3. Step 3: Cross multiply
    18,192x = 35,529 × 35,529
  4. Step 4: Simplify right side
    18,192x = 1,262,309,841
  5. Step 5: Solve for x
    x = 1,262,309,841/18,192
  6. Step 6: Final answer
    x = 69,388.18

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.