Finding the Third Proportional to 33,077 and 71,338
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Solution
The third proportional to 33,077 and 71,338 is: 153,856.46
Step by Step Solution
- Step 1: Write the proportion equation
33,077 : 71,338 = 71,338 : x - Step 2: Convert to fraction form
33,077/71,338 = 71,338/x - Step 3: Cross multiply
33,077x = 71,338 × 71,338 - Step 4: Simplify right side
33,077x = 5,089,110,244 - Step 5: Solve for x
x = 5,089,110,244/33,077 - Step 6: Final answer
x = 153,856.46
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.