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Finding the Third Proportional to 17,055 and 37,269

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Solution

The third proportional to 17,055 and 37,269 is: 81,441.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,055 : 37,269 = 37,269 : x
  2. Step 2: Convert to fraction form
    17,055/37,269 = 37,269/x
  3. Step 3: Cross multiply
    17,055x = 37,269 × 37,269
  4. Step 4: Simplify right side
    17,055x = 1,388,978,361
  5. Step 5: Solve for x
    x = 1,388,978,361/17,055
  6. Step 6: Final answer
    x = 81,441.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.