Finding the Third Proportional to 37,646 and 49,976
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Solution
The third proportional to 37,646 and 49,976 is: 66,344.38
Step by Step Solution
- Step 1: Write the proportion equation
37,646 : 49,976 = 49,976 : x - Step 2: Convert to fraction form
37,646/49,976 = 49,976/x - Step 3: Cross multiply
37,646x = 49,976 × 49,976 - Step 4: Simplify right side
37,646x = 2,497,600,576 - Step 5: Solve for x
x = 2,497,600,576/37,646 - Step 6: Final answer
x = 66,344.38
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Why These Related Problems?
These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.