Finding the Third Proportional to 13,024 and 20,162
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Solution
The third proportional to 13,024 and 20,162 is: 31,212.09
Step by Step Solution
- Step 1: Write the proportion equation
13,024 : 20,162 = 20,162 : x - Step 2: Convert to fraction form
13,024/20,162 = 20,162/x - Step 3: Cross multiply
13,024x = 20,162 × 20,162 - Step 4: Simplify right side
13,024x = 406,506,244 - Step 5: Solve for x
x = 406,506,244/13,024 - Step 6: Final answer
x = 31,212.09
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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.