Finding the Third Proportional to 20,723 and 32,864
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Solution
The third proportional to 20,723 and 32,864 is: 52,118.06
Step by Step Solution
- Step 1: Write the proportion equation
20,723 : 32,864 = 32,864 : x - Step 2: Convert to fraction form
20,723/32,864 = 32,864/x - Step 3: Cross multiply
20,723x = 32,864 × 32,864 - Step 4: Simplify right side
20,723x = 1,080,042,496 - Step 5: Solve for x
x = 1,080,042,496/20,723 - Step 6: Final answer
x = 52,118.06
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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.