Finding the Third Proportional to 11,956 and 16,412
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Solution
The third proportional to 11,956 and 16,412 is: 22,528.75
Step by Step Solution
- Step 1: Write the proportion equation
11,956 : 16,412 = 16,412 : x - Step 2: Convert to fraction form
11,956/16,412 = 16,412/x - Step 3: Cross multiply
11,956x = 16,412 × 16,412 - Step 4: Simplify right side
11,956x = 269,353,744 - Step 5: Solve for x
x = 269,353,744/11,956 - Step 6: Final answer
x = 22,528.75
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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.