Finding the Third Proportional to 20,920 and 32,048
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Solution
The third proportional to 20,920 and 32,048 is: 49,095.33
Step by Step Solution
- Step 1: Write the proportion equation
20,920 : 32,048 = 32,048 : x - Step 2: Convert to fraction form
20,920/32,048 = 32,048/x - Step 3: Cross multiply
20,920x = 32,048 × 32,048 - Step 4: Simplify right side
20,920x = 1,027,074,304 - Step 5: Solve for x
x = 1,027,074,304/20,920 - Step 6: Final answer
x = 49,095.33
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Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.