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Finding the Third Proportional to 33,768.69 and 73,483.38

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Solution

The third proportional to 33,768.69 and 73,483.38 is: 159,905.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,768.69 : 73,483.38 = 73,483.38 : x
  2. Step 2: Convert to fraction form
    33,768.69/73,483.38 = 73,483.38/x
  3. Step 3: Cross multiply
    33,768.69x = 73,483.38 × 73,483.38
  4. Step 4: Simplify right side
    33,768.69x = 5,399,806,401.39
  5. Step 5: Solve for x
    x = 5,399,806,401.39/33,768.69
  6. Step 6: Final answer
    x = 159,905.72

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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.