Finding the Third Proportional to 49,729.50 and 69,894
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Solution
The third proportional to 49,729.50 and 69,894 is: 98,234.88
Step by Step Solution
- Step 1: Write the proportion equation
49,729.50 : 69,894 = 69,894 : x - Step 2: Convert to fraction form
49,729.50/69,894 = 69,894/x - Step 3: Cross multiply
49,729.50x = 69,894 × 69,894 - Step 4: Simplify right side
49,729.50x = 4,885,171,236 - Step 5: Solve for x
x = 4,885,171,236/49,729.50 - Step 6: Final answer
x = 98,234.88
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Why These Related Problems?
These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.