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Finding the Third Proportional to 3,824 and 7,096

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Solution

The third proportional to 3,824 and 7,096 is: 13,167.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,824 : 7,096 = 7,096 : x
  2. Step 2: Convert to fraction form
    3,824/7,096 = 7,096/x
  3. Step 3: Cross multiply
    3,824x = 7,096 × 7,096
  4. Step 4: Simplify right side
    3,824x = 50,353,216
  5. Step 5: Solve for x
    x = 50,353,216/3,824
  6. Step 6: Final answer
    x = 13,167.68

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.