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Finding the Third Proportional to 33,653.44 and 73,418.94

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Solution

The third proportional to 33,653.44 and 73,418.94 is: 160,172.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,653.44 : 73,418.94 = 73,418.94 : x
  2. Step 2: Convert to fraction form
    33,653.44/73,418.94 = 73,418.94/x
  3. Step 3: Cross multiply
    33,653.44x = 73,418.94 × 73,418.94
  4. Step 4: Simplify right side
    33,653.44x = 5,390,340,383.63
  5. Step 5: Solve for x
    x = 5,390,340,383.63/33,653.44
  6. Step 6: Final answer
    x = 160,172.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.