Finding the Third Proportional to 49,230 and 73,827
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Solution
The third proportional to 49,230 and 73,827 is: 110,713.51
Step by Step Solution
- Step 1: Write the proportion equation
49,230 : 73,827 = 73,827 : x - Step 2: Convert to fraction form
49,230/73,827 = 73,827/x - Step 3: Cross multiply
49,230x = 73,827 × 73,827 - Step 4: Simplify right side
49,230x = 5,450,425,929 - Step 5: Solve for x
x = 5,450,425,929/49,230 - Step 6: Final answer
x = 110,713.51
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.