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Finding the Third Proportional to 8,041 and 17,498

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Solution

The third proportional to 8,041 and 17,498 is: 38,077.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,041 : 17,498 = 17,498 : x
  2. Step 2: Convert to fraction form
    8,041/17,498 = 17,498/x
  3. Step 3: Cross multiply
    8,041x = 17,498 × 17,498
  4. Step 4: Simplify right side
    8,041x = 306,180,004
  5. Step 5: Solve for x
    x = 306,180,004/8,041
  6. Step 6: Final answer
    x = 38,077.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.