Finding the Third Proportional to 19,434 and 30,997
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Solution
The third proportional to 19,434 and 30,997 is: 49,439.85
Step by Step Solution
- Step 1: Write the proportion equation
19,434 : 30,997 = 30,997 : x - Step 2: Convert to fraction form
19,434/30,997 = 30,997/x - Step 3: Cross multiply
19,434x = 30,997 × 30,997 - Step 4: Simplify right side
19,434x = 960,814,009 - Step 5: Solve for x
x = 960,814,009/19,434 - Step 6: Final answer
x = 49,439.85
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Why These Related Problems?
These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.