Finding the Third Proportional to 50,976 and 77,544
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Solution
The third proportional to 50,976 and 77,544 is: 117,958.88
Step by Step Solution
- Step 1: Write the proportion equation
50,976 : 77,544 = 77,544 : x - Step 2: Convert to fraction form
50,976/77,544 = 77,544/x - Step 3: Cross multiply
50,976x = 77,544 × 77,544 - Step 4: Simplify right side
50,976x = 6,013,071,936 - Step 5: Solve for x
x = 6,013,071,936/50,976 - Step 6: Final answer
x = 117,958.88
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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.