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Finding the Third Proportional to 2,684 and 4,061

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Solution

The third proportional to 2,684 and 4,061 is: 6,144.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684 : 4,061 = 4,061 : x
  2. Step 2: Convert to fraction form
    2,684/4,061 = 4,061/x
  3. Step 3: Cross multiply
    2,684x = 4,061 × 4,061
  4. Step 4: Simplify right side
    2,684x = 16,491,721
  5. Step 5: Solve for x
    x = 16,491,721/2,684
  6. Step 6: Final answer
    x = 6,144.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.