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Finding the Third Proportional to 7,839 and 16,756

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Solution

The third proportional to 7,839 and 16,756 is: 35,816.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,839 : 16,756 = 16,756 : x
  2. Step 2: Convert to fraction form
    7,839/16,756 = 16,756/x
  3. Step 3: Cross multiply
    7,839x = 16,756 × 16,756
  4. Step 4: Simplify right side
    7,839x = 280,763,536
  5. Step 5: Solve for x
    x = 280,763,536/7,839
  6. Step 6: Final answer
    x = 35,816.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.