Finding the Third Proportional to 50,229 and 77,824
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Solution
The third proportional to 50,229 and 77,824 is: 120,579.25
Step by Step Solution
- Step 1: Write the proportion equation
50,229 : 77,824 = 77,824 : x - Step 2: Convert to fraction form
50,229/77,824 = 77,824/x - Step 3: Cross multiply
50,229x = 77,824 × 77,824 - Step 4: Simplify right side
50,229x = 6,056,574,976 - Step 5: Solve for x
x = 6,056,574,976/50,229 - Step 6: Final answer
x = 120,579.25
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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.