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Finding the Third Proportional to 3,350 and 3,827

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Solution

The third proportional to 3,350 and 3,827 is: 4,371.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,350 : 3,827 = 3,827 : x
  2. Step 2: Convert to fraction form
    3,350/3,827 = 3,827/x
  3. Step 3: Cross multiply
    3,350x = 3,827 × 3,827
  4. Step 4: Simplify right side
    3,350x = 14,645,929
  5. Step 5: Solve for x
    x = 14,645,929/3,350
  6. Step 6: Final answer
    x = 4,371.92

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.