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Finding the Third Proportional to 6,977 and 8,084

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Solution

The third proportional to 6,977 and 8,084 is: 9,366.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977 : 8,084 = 8,084 : x
  2. Step 2: Convert to fraction form
    6,977/8,084 = 8,084/x
  3. Step 3: Cross multiply
    6,977x = 8,084 × 8,084
  4. Step 4: Simplify right side
    6,977x = 65,351,056
  5. Step 5: Solve for x
    x = 65,351,056/6,977
  6. Step 6: Final answer
    x = 9,366.64

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.