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Finding the Third Proportional to 3,824 and 7,544

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Solution

The third proportional to 3,824 and 7,544 is: 14,882.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,824 : 7,544 = 7,544 : x
  2. Step 2: Convert to fraction form
    3,824/7,544 = 7,544/x
  3. Step 3: Cross multiply
    3,824x = 7,544 × 7,544
  4. Step 4: Simplify right side
    3,824x = 56,911,936
  5. Step 5: Solve for x
    x = 56,911,936/3,824
  6. Step 6: Final answer
    x = 14,882.83

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.