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Finding the Third Proportional to 31,954.50 and 56,922.75

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Solution

The third proportional to 31,954.50 and 56,922.75 is: 101,400.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,954.50 : 56,922.75 = 56,922.75 : x
  2. Step 2: Convert to fraction form
    31,954.50/56,922.75 = 56,922.75/x
  3. Step 3: Cross multiply
    31,954.50x = 56,922.75 × 56,922.75
  4. Step 4: Simplify right side
    31,954.50x = 3,240,199,467.56
  5. Step 5: Solve for x
    x = 3,240,199,467.56/31,954.50
  6. Step 6: Final answer
    x = 101,400.41

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.