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Finding the Third Proportional to 33,666.50 and 73,891

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Solution

The third proportional to 33,666.50 and 73,891 is: 162,175.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,666.50 : 73,891 = 73,891 : x
  2. Step 2: Convert to fraction form
    33,666.50/73,891 = 73,891/x
  3. Step 3: Cross multiply
    33,666.50x = 73,891 × 73,891
  4. Step 4: Simplify right side
    33,666.50x = 5,459,879,881
  5. Step 5: Solve for x
    x = 5,459,879,881/33,666.50
  6. Step 6: Final answer
    x = 162,175.45

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.