Finding the Third Proportional to 21,984 and 33,003
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Solution
The third proportional to 21,984 and 33,003 is: 49,545.03
Step by Step Solution
- Step 1: Write the proportion equation
21,984 : 33,003 = 33,003 : x - Step 2: Convert to fraction form
21,984/33,003 = 33,003/x - Step 3: Cross multiply
21,984x = 33,003 × 33,003 - Step 4: Simplify right side
21,984x = 1,089,198,009 - Step 5: Solve for x
x = 1,089,198,009/21,984 - Step 6: Final answer
x = 49,545.03
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.