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Finding the Third Proportional to 2,966 and 6,989

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Solution

The third proportional to 2,966 and 6,989 is: 16,468.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966 : 6,989 = 6,989 : x
  2. Step 2: Convert to fraction form
    2,966/6,989 = 6,989/x
  3. Step 3: Cross multiply
    2,966x = 6,989 × 6,989
  4. Step 4: Simplify right side
    2,966x = 48,846,121
  5. Step 5: Solve for x
    x = 48,846,121/2,966
  6. Step 6: Final answer
    x = 16,468.69

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.