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Finding the Third Proportional to 3,812 and 5,446

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Solution

The third proportional to 3,812 and 5,446 is: 7,780.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812 : 5,446 = 5,446 : x
  2. Step 2: Convert to fraction form
    3,812/5,446 = 5,446/x
  3. Step 3: Cross multiply
    3,812x = 5,446 × 5,446
  4. Step 4: Simplify right side
    3,812x = 29,658,916
  5. Step 5: Solve for x
    x = 29,658,916/3,812
  6. Step 6: Final answer
    x = 7,780.41

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.