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Finding the Third Proportional to 31,027 and 41,619

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Solution

The third proportional to 31,027 and 41,619 is: 55,826.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,027 : 41,619 = 41,619 : x
  2. Step 2: Convert to fraction form
    31,027/41,619 = 41,619/x
  3. Step 3: Cross multiply
    31,027x = 41,619 × 41,619
  4. Step 4: Simplify right side
    31,027x = 1,732,141,161
  5. Step 5: Solve for x
    x = 1,732,141,161/31,027
  6. Step 6: Final answer
    x = 55,826.90

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.