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Finding the Third Proportional to 6,100 and 6,821

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Solution

The third proportional to 6,100 and 6,821 is: 7,627.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,100 : 6,821 = 6,821 : x
  2. Step 2: Convert to fraction form
    6,100/6,821 = 6,821/x
  3. Step 3: Cross multiply
    6,100x = 6,821 × 6,821
  4. Step 4: Simplify right side
    6,100x = 46,526,041
  5. Step 5: Solve for x
    x = 46,526,041/6,100
  6. Step 6: Final answer
    x = 7,627.22

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.