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Finding the Third Proportional to 2,968 and 6,868

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Solution

The third proportional to 2,968 and 6,868 is: 15,892.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968 : 6,868 = 6,868 : x
  2. Step 2: Convert to fraction form
    2,968/6,868 = 6,868/x
  3. Step 3: Cross multiply
    2,968x = 6,868 × 6,868
  4. Step 4: Simplify right side
    2,968x = 47,169,424
  5. Step 5: Solve for x
    x = 47,169,424/2,968
  6. Step 6: Final answer
    x = 15,892.66

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.