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Finding the Third Proportional to 20,107.97 and 42,975.84

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Solution

The third proportional to 20,107.97 and 42,975.84 is: 91,850.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,107.97 : 42,975.84 = 42,975.84 : x
  2. Step 2: Convert to fraction form
    20,107.97/42,975.84 = 42,975.84/x
  3. Step 3: Cross multiply
    20,107.97x = 42,975.84 × 42,975.84
  4. Step 4: Simplify right side
    20,107.97x = 1,846,923,146.02
  5. Step 5: Solve for x
    x = 1,846,923,146.02/20,107.97
  6. Step 6: Final answer
    x = 91,850.31

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.