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Finding the Third Proportional to 3,870 and 8,228

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Solution

The third proportional to 3,870 and 8,228 is: 17,493.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870 : 8,228 = 8,228 : x
  2. Step 2: Convert to fraction form
    3,870/8,228 = 8,228/x
  3. Step 3: Cross multiply
    3,870x = 8,228 × 8,228
  4. Step 4: Simplify right side
    3,870x = 67,699,984
  5. Step 5: Solve for x
    x = 67,699,984/3,870
  6. Step 6: Final answer
    x = 17,493.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.