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Finding the Third Proportional to 6,084 and 6,884

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Solution

The third proportional to 6,084 and 6,884 is: 7,789.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,084 : 6,884 = 6,884 : x
  2. Step 2: Convert to fraction form
    6,084/6,884 = 6,884/x
  3. Step 3: Cross multiply
    6,084x = 6,884 × 6,884
  4. Step 4: Simplify right side
    6,084x = 47,389,456
  5. Step 5: Solve for x
    x = 47,389,456/6,084
  6. Step 6: Final answer
    x = 7,789.19

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.