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Finding the Third Proportional to 1,978 and 4,012

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Solution

The third proportional to 1,978 and 4,012 is: 8,137.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978 : 4,012 = 4,012 : x
  2. Step 2: Convert to fraction form
    1,978/4,012 = 4,012/x
  3. Step 3: Cross multiply
    1,978x = 4,012 × 4,012
  4. Step 4: Simplify right side
    1,978x = 16,096,144
  5. Step 5: Solve for x
    x = 16,096,144/1,978
  6. Step 6: Final answer
    x = 8,137.59

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.