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Finding the Third Proportional to 31,917.60 and 50,990.31

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Solution

The third proportional to 31,917.60 and 50,990.31 is: 81,460.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,917.60 : 50,990.31 = 50,990.31 : x
  2. Step 2: Convert to fraction form
    31,917.60/50,990.31 = 50,990.31/x
  3. Step 3: Cross multiply
    31,917.60x = 50,990.31 × 50,990.31
  4. Step 4: Simplify right side
    31,917.60x = 2,600,011,794.56
  5. Step 5: Solve for x
    x = 2,600,011,794.56/31,917.60
  6. Step 6: Final answer
    x = 81,460.13

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.