Finding the Third Proportional to 50,772 and 77,349
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Solution
The third proportional to 50,772 and 77,349 is: 117,837.94
Step by Step Solution
- Step 1: Write the proportion equation
50,772 : 77,349 = 77,349 : x - Step 2: Convert to fraction form
50,772/77,349 = 77,349/x - Step 3: Cross multiply
50,772x = 77,349 × 77,349 - Step 4: Simplify right side
50,772x = 5,982,867,801 - Step 5: Solve for x
x = 5,982,867,801/50,772 - Step 6: Final answer
x = 117,837.94
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Why These Related Problems?
These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.