Finding the Third Proportional to 12,205 and 24,986
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Solution
The third proportional to 12,205 and 24,986 is: 51,151.18
Step by Step Solution
- Step 1: Write the proportion equation
12,205 : 24,986 = 24,986 : x - Step 2: Convert to fraction form
12,205/24,986 = 24,986/x - Step 3: Cross multiply
12,205x = 24,986 × 24,986 - Step 4: Simplify right side
12,205x = 624,300,196 - Step 5: Solve for x
x = 624,300,196/12,205 - Step 6: Final answer
x = 51,151.18
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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.