Finding the Third Proportional to 8,371 and 12,969
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Solution
The third proportional to 8,371 and 12,969 is: 20,092.58
Step by Step Solution
- Step 1: Write the proportion equation
8,371 : 12,969 = 12,969 : x - Step 2: Convert to fraction form
8,371/12,969 = 12,969/x - Step 3: Cross multiply
8,371x = 12,969 × 12,969 - Step 4: Simplify right side
8,371x = 168,194,961 - Step 5: Solve for x
x = 168,194,961/8,371 - Step 6: Final answer
x = 20,092.58
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.