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Finding the Third Proportional to 19,735.31 and 43,623.56

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Solution

The third proportional to 19,735.31 and 43,623.56 is: 96,426.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,735.31 : 43,623.56 = 43,623.56 : x
  2. Step 2: Convert to fraction form
    19,735.31/43,623.56 = 43,623.56/x
  3. Step 3: Cross multiply
    19,735.31x = 43,623.56 × 43,623.56
  4. Step 4: Simplify right side
    19,735.31x = 1,903,015,205.19
  5. Step 5: Solve for x
    x = 1,903,015,205.19/19,735.31
  6. Step 6: Final answer
    x = 96,426.91

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.