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Finding the Third Proportional to 1,974 and 2,966

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Solution

The third proportional to 1,974 and 2,966 is: 4,456.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974 : 2,966 = 2,966 : x
  2. Step 2: Convert to fraction form
    1,974/2,966 = 2,966/x
  3. Step 3: Cross multiply
    1,974x = 2,966 × 2,966
  4. Step 4: Simplify right side
    1,974x = 8,797,156
  5. Step 5: Solve for x
    x = 8,797,156/1,974
  6. Step 6: Final answer
    x = 4,456.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.