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Finding the Third Proportional to 3,827 and 5,043

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Solution

The third proportional to 3,827 and 5,043 is: 6,645.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827 : 5,043 = 5,043 : x
  2. Step 2: Convert to fraction form
    3,827/5,043 = 5,043/x
  3. Step 3: Cross multiply
    3,827x = 5,043 × 5,043
  4. Step 4: Simplify right side
    3,827x = 25,431,849
  5. Step 5: Solve for x
    x = 25,431,849/3,827
  6. Step 6: Final answer
    x = 6,645.37

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.