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Finding the Third Proportional to 17,419 and 41,540

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Solution

The third proportional to 17,419 and 41,540 is: 99,062.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,419 : 41,540 = 41,540 : x
  2. Step 2: Convert to fraction form
    17,419/41,540 = 41,540/x
  3. Step 3: Cross multiply
    17,419x = 41,540 × 41,540
  4. Step 4: Simplify right side
    17,419x = 1,725,571,600
  5. Step 5: Solve for x
    x = 1,725,571,600/17,419
  6. Step 6: Final answer
    x = 99,062.61

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.