Finding the Third Proportional to 23,512 and 50,732
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Solution
The third proportional to 23,512 and 50,732 is: 109,464.78
Step by Step Solution
- Step 1: Write the proportion equation
23,512 : 50,732 = 50,732 : x - Step 2: Convert to fraction form
23,512/50,732 = 50,732/x - Step 3: Cross multiply
23,512x = 50,732 × 50,732 - Step 4: Simplify right side
23,512x = 2,573,735,824 - Step 5: Solve for x
x = 2,573,735,824/23,512 - Step 6: Final answer
x = 109,464.78
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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.