Finding the Third Proportional to 21,632 and 31,596
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Solution
The third proportional to 21,632 and 31,596 is: 46,149.56
Step by Step Solution
- Step 1: Write the proportion equation
21,632 : 31,596 = 31,596 : x - Step 2: Convert to fraction form
21,632/31,596 = 31,596/x - Step 3: Cross multiply
21,632x = 31,596 × 31,596 - Step 4: Simplify right side
21,632x = 998,307,216 - Step 5: Solve for x
x = 998,307,216/21,632 - Step 6: Final answer
x = 46,149.56
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Why These Related Problems?
These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.