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Finding the Third Proportional to 6,774 and 10,817

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Solution

The third proportional to 6,774 and 10,817 is: 17,273.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774 : 10,817 = 10,817 : x
  2. Step 2: Convert to fraction form
    6,774/10,817 = 10,817/x
  3. Step 3: Cross multiply
    6,774x = 10,817 × 10,817
  4. Step 4: Simplify right side
    6,774x = 117,007,489
  5. Step 5: Solve for x
    x = 117,007,489/6,774
  6. Step 6: Final answer
    x = 17,273.03

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.