Finding the Third Proportional to 21,022 and 31,558
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Solution
The third proportional to 21,022 and 31,558 is: 47,374.53
Step by Step Solution
- Step 1: Write the proportion equation
21,022 : 31,558 = 31,558 : x - Step 2: Convert to fraction form
21,022/31,558 = 31,558/x - Step 3: Cross multiply
21,022x = 31,558 × 31,558 - Step 4: Simplify right side
21,022x = 995,907,364 - Step 5: Solve for x
x = 995,907,364/21,022 - Step 6: Final answer
x = 47,374.53
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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.