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Finding the Third Proportional to 37,974 and 56,961

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Solution

The third proportional to 37,974 and 56,961 is: 85,441.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,974 : 56,961 = 56,961 : x
  2. Step 2: Convert to fraction form
    37,974/56,961 = 56,961/x
  3. Step 3: Cross multiply
    37,974x = 56,961 × 56,961
  4. Step 4: Simplify right side
    37,974x = 3,244,555,521
  5. Step 5: Solve for x
    x = 3,244,555,521/37,974
  6. Step 6: Final answer
    x = 85,441.50

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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.