Finding the Third Proportional to 21,982 and 33,049
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Solution
The third proportional to 21,982 and 33,049 is: 49,687.76
Step by Step Solution
- Step 1: Write the proportion equation
21,982 : 33,049 = 33,049 : x - Step 2: Convert to fraction form
21,982/33,049 = 33,049/x - Step 3: Cross multiply
21,982x = 33,049 × 33,049 - Step 4: Simplify right side
21,982x = 1,092,236,401 - Step 5: Solve for x
x = 1,092,236,401/21,982 - Step 6: Final answer
x = 49,687.76
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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.