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Finding the Third Proportional to 2,824 and 3,812

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Solution

The third proportional to 2,824 and 3,812 is: 5,145.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824 : 3,812 = 3,812 : x
  2. Step 2: Convert to fraction form
    2,824/3,812 = 3,812/x
  3. Step 3: Cross multiply
    2,824x = 3,812 × 3,812
  4. Step 4: Simplify right side
    2,824x = 14,531,344
  5. Step 5: Solve for x
    x = 14,531,344/2,824
  6. Step 6: Final answer
    x = 5,145.66

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.