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Finding the Third Proportional to 2,943 and 6,831

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Solution

The third proportional to 2,943 and 6,831 is: 15,855.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,943 : 6,831 = 6,831 : x
  2. Step 2: Convert to fraction form
    2,943/6,831 = 6,831/x
  3. Step 3: Cross multiply
    2,943x = 6,831 × 6,831
  4. Step 4: Simplify right side
    2,943x = 46,662,561
  5. Step 5: Solve for x
    x = 46,662,561/2,943
  6. Step 6: Final answer
    x = 15,855.44

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.