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Finding the Third Proportional to 6,841 and 14,756

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Solution

The third proportional to 6,841 and 14,756 is: 31,828.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,841 : 14,756 = 14,756 : x
  2. Step 2: Convert to fraction form
    6,841/14,756 = 14,756/x
  3. Step 3: Cross multiply
    6,841x = 14,756 × 14,756
  4. Step 4: Simplify right side
    6,841x = 217,739,536
  5. Step 5: Solve for x
    x = 217,739,536/6,841
  6. Step 6: Final answer
    x = 31,828.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.