Finding the Third Proportional to 2,382.25 and 5,231.75
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Solution
The third proportional to 2,382.25 and 5,231.75 is: 11,489.65
Step by Step Solution
- Step 1: Write the proportion equation
2,382.25 : 5,231.75 = 5,231.75 : x - Step 2: Convert to fraction form
2,382.25/5,231.75 = 5,231.75/x - Step 3: Cross multiply
2,382.25x = 5,231.75 × 5,231.75 - Step 4: Simplify right side
2,382.25x = 27,371,208.06 - Step 5: Solve for x
x = 27,371,208.06/2,382.25 - Step 6: Final answer
x = 11,489.65
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.