Finding the Third Proportional to 49,684 and 73,850
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Solution
The third proportional to 49,684 and 73,850 is: 109,770.20
Step by Step Solution
- Step 1: Write the proportion equation
49,684 : 73,850 = 73,850 : x - Step 2: Convert to fraction form
49,684/73,850 = 73,850/x - Step 3: Cross multiply
49,684x = 73,850 × 73,850 - Step 4: Simplify right side
49,684x = 5,453,822,500 - Step 5: Solve for x
x = 5,453,822,500/49,684 - Step 6: Final answer
x = 109,770.20
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.