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Finding the Third Proportional to 8,219 and 17,734

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Solution

The third proportional to 8,219 and 17,734 is: 38,264.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,219 : 17,734 = 17,734 : x
  2. Step 2: Convert to fraction form
    8,219/17,734 = 17,734/x
  3. Step 3: Cross multiply
    8,219x = 17,734 × 17,734
  4. Step 4: Simplify right side
    8,219x = 314,494,756
  5. Step 5: Solve for x
    x = 314,494,756/8,219
  6. Step 6: Final answer
    x = 38,264.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.