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Finding the Third Proportional to 2,936 and 6,906

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Solution

The third proportional to 2,936 and 6,906 is: 16,244.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,936 : 6,906 = 6,906 : x
  2. Step 2: Convert to fraction form
    2,936/6,906 = 6,906/x
  3. Step 3: Cross multiply
    2,936x = 6,906 × 6,906
  4. Step 4: Simplify right side
    2,936x = 47,692,836
  5. Step 5: Solve for x
    x = 47,692,836/2,936
  6. Step 6: Final answer
    x = 16,244.15

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.