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Finding the Third Proportional to 2,684 and 2,954

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Solution

The third proportional to 2,684 and 2,954 is: 3,251.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684 : 2,954 = 2,954 : x
  2. Step 2: Convert to fraction form
    2,684/2,954 = 2,954/x
  3. Step 3: Cross multiply
    2,684x = 2,954 × 2,954
  4. Step 4: Simplify right side
    2,684x = 8,726,116
  5. Step 5: Solve for x
    x = 8,726,116/2,684
  6. Step 6: Final answer
    x = 3,251.16

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.