Finding the Third Proportional to 42,823 and 94,825
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Solution
The third proportional to 42,823 and 94,825 is: 209,975.50
Step by Step Solution
- Step 1: Write the proportion equation
42,823 : 94,825 = 94,825 : x - Step 2: Convert to fraction form
42,823/94,825 = 94,825/x - Step 3: Cross multiply
42,823x = 94,825 × 94,825 - Step 4: Simplify right side
42,823x = 8,991,780,625 - Step 5: Solve for x
x = 8,991,780,625/42,823 - Step 6: Final answer
x = 209,975.50
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Why These Related Problems?
These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.