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Finding the Third Proportional to 3,538 and 8,215

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Solution

The third proportional to 3,538 and 8,215 is: 19,074.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538 : 8,215 = 8,215 : x
  2. Step 2: Convert to fraction form
    3,538/8,215 = 8,215/x
  3. Step 3: Cross multiply
    3,538x = 8,215 × 8,215
  4. Step 4: Simplify right side
    3,538x = 67,486,225
  5. Step 5: Solve for x
    x = 67,486,225/3,538
  6. Step 6: Final answer
    x = 19,074.68

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.