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Finding the Third Proportional to 33,774.94 and 73,495.69

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Solution

The third proportional to 33,774.94 and 73,495.69 is: 159,929.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,774.94 : 73,495.69 = 73,495.69 : x
  2. Step 2: Convert to fraction form
    33,774.94/73,495.69 = 73,495.69/x
  3. Step 3: Cross multiply
    33,774.94x = 73,495.69 × 73,495.69
  4. Step 4: Simplify right side
    33,774.94x = 5,401,616,081.10
  5. Step 5: Solve for x
    x = 5,401,616,081.10/33,774.94
  6. Step 6: Final answer
    x = 159,929.71

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