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Finding the Third Proportional to 8,189 and 17,671

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Solution

The third proportional to 8,189 and 17,671 is: 38,132.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189 : 17,671 = 17,671 : x
  2. Step 2: Convert to fraction form
    8,189/17,671 = 17,671/x
  3. Step 3: Cross multiply
    8,189x = 17,671 × 17,671
  4. Step 4: Simplify right side
    8,189x = 312,264,241
  5. Step 5: Solve for x
    x = 312,264,241/8,189
  6. Step 6: Final answer
    x = 38,132.16

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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.