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Finding the Third Proportional to 2,101 and 3,941

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Solution

The third proportional to 2,101 and 3,941 is: 7,392.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101 : 3,941 = 3,941 : x
  2. Step 2: Convert to fraction form
    2,101/3,941 = 3,941/x
  3. Step 3: Cross multiply
    2,101x = 3,941 × 3,941
  4. Step 4: Simplify right side
    2,101x = 15,531,481
  5. Step 5: Solve for x
    x = 15,531,481/2,101
  6. Step 6: Final answer
    x = 7,392.42

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.