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Finding the Third Proportional to 31,863.38 and 50,621.63

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Solution

The third proportional to 31,863.38 and 50,621.63 is: 80,423.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,863.38 : 50,621.63 = 50,621.63 : x
  2. Step 2: Convert to fraction form
    31,863.38/50,621.63 = 50,621.63/x
  3. Step 3: Cross multiply
    31,863.38x = 50,621.63 × 50,621.63
  4. Step 4: Simplify right side
    31,863.38x = 2,562,548,917.64
  5. Step 5: Solve for x
    x = 2,562,548,917.64/31,863.38
  6. Step 6: Final answer
    x = 80,423.02

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.