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Finding the Third Proportional to 31,946.25 and 50,012.63

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Solution

The third proportional to 31,946.25 and 50,012.63 is: 78,295.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,946.25 : 50,012.63 = 50,012.63 : x
  2. Step 2: Convert to fraction form
    31,946.25/50,012.63 = 50,012.63/x
  3. Step 3: Cross multiply
    31,946.25x = 50,012.63 × 50,012.63
  4. Step 4: Simplify right side
    31,946.25x = 2,501,262,659.39
  5. Step 5: Solve for x
    x = 2,501,262,659.39/31,946.25
  6. Step 6: Final answer
    x = 78,295.97

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.