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Finding the Third Proportional to 6,723 and 10,678

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Solution

The third proportional to 6,723 and 10,678 is: 16,959.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,723 : 10,678 = 10,678 : x
  2. Step 2: Convert to fraction form
    6,723/10,678 = 10,678/x
  3. Step 3: Cross multiply
    6,723x = 10,678 × 10,678
  4. Step 4: Simplify right side
    6,723x = 114,019,684
  5. Step 5: Solve for x
    x = 114,019,684/6,723
  6. Step 6: Final answer
    x = 16,959.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.