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Finding the Third Proportional to 1,827 and 3,974

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Solution

The third proportional to 1,827 and 3,974 is: 8,644.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827 : 3,974 = 3,974 : x
  2. Step 2: Convert to fraction form
    1,827/3,974 = 3,974/x
  3. Step 3: Cross multiply
    1,827x = 3,974 × 3,974
  4. Step 4: Simplify right side
    1,827x = 15,792,676
  5. Step 5: Solve for x
    x = 15,792,676/1,827
  6. Step 6: Final answer
    x = 8,644.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.