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Finding the Third Proportional to 2,684 and 4,084

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Solution

The third proportional to 2,684 and 4,084 is: 6,214.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684 : 4,084 = 4,084 : x
  2. Step 2: Convert to fraction form
    2,684/4,084 = 4,084/x
  3. Step 3: Cross multiply
    2,684x = 4,084 × 4,084
  4. Step 4: Simplify right side
    2,684x = 16,679,056
  5. Step 5: Solve for x
    x = 16,679,056/2,684
  6. Step 6: Final answer
    x = 6,214.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.