Finding the Third Proportional to 5,318 and 7,822
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Solution
The third proportional to 5,318 and 7,822 is: 11,505.02
Step by Step Solution
- Step 1: Write the proportion equation
5,318 : 7,822 = 7,822 : x - Step 2: Convert to fraction form
5,318/7,822 = 7,822/x - Step 3: Cross multiply
5,318x = 7,822 × 7,822 - Step 4: Simplify right side
5,318x = 61,183,684 - Step 5: Solve for x
x = 61,183,684/5,318 - Step 6: Final answer
x = 11,505.02
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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.