Finding the Third Proportional to 33,746 and 50,460
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Solution
The third proportional to 33,746 and 50,460 is: 75,452.25
Step by Step Solution
- Step 1: Write the proportion equation
33,746 : 50,460 = 50,460 : x - Step 2: Convert to fraction form
33,746/50,460 = 50,460/x - Step 3: Cross multiply
33,746x = 50,460 × 50,460 - Step 4: Simplify right side
33,746x = 2,546,211,600 - Step 5: Solve for x
x = 2,546,211,600/33,746 - Step 6: Final answer
x = 75,452.25
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.