Finding the Third Proportional to 32,434 and 41,443
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Solution
The third proportional to 32,434 and 41,443 is: 52,954.38
Step by Step Solution
- Step 1: Write the proportion equation
32,434 : 41,443 = 41,443 : x - Step 2: Convert to fraction form
32,434/41,443 = 41,443/x - Step 3: Cross multiply
32,434x = 41,443 × 41,443 - Step 4: Simplify right side
32,434x = 1,717,522,249 - Step 5: Solve for x
x = 1,717,522,249/32,434 - Step 6: Final answer
x = 52,954.38
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Why These Related Problems?
These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.