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Finding the Third Proportional to 3,882 and 8,482

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Solution

The third proportional to 3,882 and 8,482 is: 18,532.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882 : 8,482 = 8,482 : x
  2. Step 2: Convert to fraction form
    3,882/8,482 = 8,482/x
  3. Step 3: Cross multiply
    3,882x = 8,482 × 8,482
  4. Step 4: Simplify right side
    3,882x = 71,944,324
  5. Step 5: Solve for x
    x = 71,944,324/3,882
  6. Step 6: Final answer
    x = 18,532.80

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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.