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Finding the Third Proportional to 33,528.94 and 71,054.72

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Solution

The third proportional to 33,528.94 and 71,054.72 is: 150,579.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,528.94 : 71,054.72 = 71,054.72 : x
  2. Step 2: Convert to fraction form
    33,528.94/71,054.72 = 71,054.72/x
  3. Step 3: Cross multiply
    33,528.94x = 71,054.72 × 71,054.72
  4. Step 4: Simplify right side
    33,528.94x = 5,048,773,056.64
  5. Step 5: Solve for x
    x = 5,048,773,056.64/33,528.94
  6. Step 6: Final answer
    x = 150,579.57

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.