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Finding the Third Proportional to 31,450 and 41,991

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Solution

The third proportional to 31,450 and 41,991 is: 56,064.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,450 : 41,991 = 41,991 : x
  2. Step 2: Convert to fraction form
    31,450/41,991 = 41,991/x
  3. Step 3: Cross multiply
    31,450x = 41,991 × 41,991
  4. Step 4: Simplify right side
    31,450x = 1,763,244,081
  5. Step 5: Solve for x
    x = 1,763,244,081/31,450
  6. Step 6: Final answer
    x = 56,064.99

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Why These Related Problems?

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