Finding the Third Proportional to 33,812 and 73,996
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Solution
The third proportional to 33,812 and 73,996 is: 161,936.83
Step by Step Solution
- Step 1: Write the proportion equation
33,812 : 73,996 = 73,996 : x - Step 2: Convert to fraction form
33,812/73,996 = 73,996/x - Step 3: Cross multiply
33,812x = 73,996 × 73,996 - Step 4: Simplify right side
33,812x = 5,475,408,016 - Step 5: Solve for x
x = 5,475,408,016/33,812 - Step 6: Final answer
x = 161,936.83
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.