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Finding the Third Proportional to 2,005 and 3,827

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Solution

The third proportional to 2,005 and 3,827 is: 7,304.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005 : 3,827 = 3,827 : x
  2. Step 2: Convert to fraction form
    2,005/3,827 = 3,827/x
  3. Step 3: Cross multiply
    2,005x = 3,827 × 3,827
  4. Step 4: Simplify right side
    2,005x = 14,645,929
  5. Step 5: Solve for x
    x = 14,645,929/2,005
  6. Step 6: Final answer
    x = 7,304.70

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.