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Finding the Third Proportional to 2,976 and 6,948

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Solution

The third proportional to 2,976 and 6,948 is: 16,221.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976 : 6,948 = 6,948 : x
  2. Step 2: Convert to fraction form
    2,976/6,948 = 6,948/x
  3. Step 3: Cross multiply
    2,976x = 6,948 × 6,948
  4. Step 4: Simplify right side
    2,976x = 48,274,704
  5. Step 5: Solve for x
    x = 48,274,704/2,976
  6. Step 6: Final answer
    x = 16,221.34

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.