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Finding the Third Proportional to 3,824 and 5,914

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Solution

The third proportional to 3,824 and 5,914 is: 9,146.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,824 : 5,914 = 5,914 : x
  2. Step 2: Convert to fraction form
    3,824/5,914 = 5,914/x
  3. Step 3: Cross multiply
    3,824x = 5,914 × 5,914
  4. Step 4: Simplify right side
    3,824x = 34,975,396
  5. Step 5: Solve for x
    x = 34,975,396/3,824
  6. Step 6: Final answer
    x = 9,146.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.