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Finding the Third Proportional to 33,955.45 and 73,754.30

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Solution

The third proportional to 33,955.45 and 73,754.30 is: 160,200.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,955.45 : 73,754.30 = 73,754.30 : x
  2. Step 2: Convert to fraction form
    33,955.45/73,754.30 = 73,754.30/x
  3. Step 3: Cross multiply
    33,955.45x = 73,754.30 × 73,754.30
  4. Step 4: Simplify right side
    33,955.45x = 5,439,696,307.53
  5. Step 5: Solve for x
    x = 5,439,696,307.53/33,955.45
  6. Step 6: Final answer
    x = 160,200.96

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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.