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Finding the Third Proportional to 2,882 and 6,845

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Solution

The third proportional to 2,882 and 6,845 is: 16,257.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882 : 6,845 = 6,845 : x
  2. Step 2: Convert to fraction form
    2,882/6,845 = 6,845/x
  3. Step 3: Cross multiply
    2,882x = 6,845 × 6,845
  4. Step 4: Simplify right side
    2,882x = 46,854,025
  5. Step 5: Solve for x
    x = 46,854,025/2,882
  6. Step 6: Final answer
    x = 16,257.47

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.