Finding the Third Proportional to 33,642 and 52,241
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Solution
The third proportional to 33,642 and 52,241 is: 81,122.47
Step by Step Solution
- Step 1: Write the proportion equation
33,642 : 52,241 = 52,241 : x - Step 2: Convert to fraction form
33,642/52,241 = 52,241/x - Step 3: Cross multiply
33,642x = 52,241 × 52,241 - Step 4: Simplify right side
33,642x = 2,729,122,081 - Step 5: Solve for x
x = 2,729,122,081/33,642 - Step 6: Final answer
x = 81,122.47
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.