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Finding the Third Proportional to 6,967 and 10,874

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Solution

The third proportional to 6,967 and 10,874 is: 16,971.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,967 : 10,874 = 10,874 : x
  2. Step 2: Convert to fraction form
    6,967/10,874 = 10,874/x
  3. Step 3: Cross multiply
    6,967x = 10,874 × 10,874
  4. Step 4: Simplify right side
    6,967x = 118,243,876
  5. Step 5: Solve for x
    x = 118,243,876/6,967
  6. Step 6: Final answer
    x = 16,971.99

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.