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Finding the Third Proportional to 3,825 and 8,271

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Solution

The third proportional to 3,825 and 8,271 is: 17,884.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825 : 8,271 = 8,271 : x
  2. Step 2: Convert to fraction form
    3,825/8,271 = 8,271/x
  3. Step 3: Cross multiply
    3,825x = 8,271 × 8,271
  4. Step 4: Simplify right side
    3,825x = 68,409,441
  5. Step 5: Solve for x
    x = 68,409,441/3,825
  6. Step 6: Final answer
    x = 17,884.82

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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.