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Finding the Third Proportional to 19,947.75 and 40,806.75

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Solution

The third proportional to 19,947.75 and 40,806.75 is: 83,477.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,947.75 : 40,806.75 = 40,806.75 : x
  2. Step 2: Convert to fraction form
    19,947.75/40,806.75 = 40,806.75/x
  3. Step 3: Cross multiply
    19,947.75x = 40,806.75 × 40,806.75
  4. Step 4: Simplify right side
    19,947.75x = 1,665,190,845.56
  5. Step 5: Solve for x
    x = 1,665,190,845.56/19,947.75
  6. Step 6: Final answer
    x = 83,477.63

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.