Finding the Third Proportional to 5,491.75 and 7,846.75
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Solution
The third proportional to 5,491.75 and 7,846.75 is: 11,211.63
Step by Step Solution
- Step 1: Write the proportion equation
5,491.75 : 7,846.75 = 7,846.75 : x - Step 2: Convert to fraction form
5,491.75/7,846.75 = 7,846.75/x - Step 3: Cross multiply
5,491.75x = 7,846.75 × 7,846.75 - Step 4: Simplify right side
5,491.75x = 61,571,485.56 - Step 5: Solve for x
x = 61,571,485.56/5,491.75 - Step 6: Final answer
x = 11,211.63
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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.