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Finding the Third Proportional to 33,989.63 and 73,704.94

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Solution

The third proportional to 33,989.63 and 73,704.94 is: 159,825.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,989.63 : 73,704.94 = 73,704.94 : x
  2. Step 2: Convert to fraction form
    33,989.63/73,704.94 = 73,704.94/x
  3. Step 3: Cross multiply
    33,989.63x = 73,704.94 × 73,704.94
  4. Step 4: Simplify right side
    33,989.63x = 5,432,417,811.88
  5. Step 5: Solve for x
    x = 5,432,417,811.88/33,989.63
  6. Step 6: Final answer
    x = 159,825.76

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.