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Finding the Third Proportional to 35,704.97 and 84,591.84

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Solution

The third proportional to 35,704.97 and 84,591.84 is: 200,414.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,704.97 : 84,591.84 = 84,591.84 : x
  2. Step 2: Convert to fraction form
    35,704.97/84,591.84 = 84,591.84/x
  3. Step 3: Cross multiply
    35,704.97x = 84,591.84 × 84,591.84
  4. Step 4: Simplify right side
    35,704.97x = 7,155,780,029.02
  5. Step 5: Solve for x
    x = 7,155,780,029.02/35,704.97
  6. Step 6: Final answer
    x = 200,414.12

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.