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Finding the Third Proportional to 17,330 and 38,546

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Solution

The third proportional to 17,330 and 38,546 is: 85,735.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,330 : 38,546 = 38,546 : x
  2. Step 2: Convert to fraction form
    17,330/38,546 = 38,546/x
  3. Step 3: Cross multiply
    17,330x = 38,546 × 38,546
  4. Step 4: Simplify right side
    17,330x = 1,485,794,116
  5. Step 5: Solve for x
    x = 1,485,794,116/17,330
  6. Step 6: Final answer
    x = 85,735.38

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.