Finding the Third Proportional to 19,586 and 22,016
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Solution
The third proportional to 19,586 and 22,016 is: 24,747.49
Step by Step Solution
- Step 1: Write the proportion equation
19,586 : 22,016 = 22,016 : x - Step 2: Convert to fraction form
19,586/22,016 = 22,016/x - Step 3: Cross multiply
19,586x = 22,016 × 22,016 - Step 4: Simplify right side
19,586x = 484,704,256 - Step 5: Solve for x
x = 484,704,256/19,586 - Step 6: Final answer
x = 24,747.49
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Why These Related Problems?
These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.