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Finding the Third Proportional to 17,134 and 27,341

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Solution

The third proportional to 17,134 and 27,341 is: 43,628.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,134 : 27,341 = 27,341 : x
  2. Step 2: Convert to fraction form
    17,134/27,341 = 27,341/x
  3. Step 3: Cross multiply
    17,134x = 27,341 × 27,341
  4. Step 4: Simplify right side
    17,134x = 747,530,281
  5. Step 5: Solve for x
    x = 747,530,281/17,134
  6. Step 6: Final answer
    x = 43,628.47

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.