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Finding the Third Proportional to 6,751 and 10,567

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Solution

The third proportional to 6,751 and 10,567 is: 16,539.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,751 : 10,567 = 10,567 : x
  2. Step 2: Convert to fraction form
    6,751/10,567 = 10,567/x
  3. Step 3: Cross multiply
    6,751x = 10,567 × 10,567
  4. Step 4: Simplify right side
    6,751x = 111,661,489
  5. Step 5: Solve for x
    x = 111,661,489/6,751
  6. Step 6: Final answer
    x = 16,539.99

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.