Finding the Third Proportional to 6,709.25 and 14,284.75
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Solution
The third proportional to 6,709.25 and 14,284.75 is: 30,413.84
Step by Step Solution
- Step 1: Write the proportion equation
6,709.25 : 14,284.75 = 14,284.75 : x - Step 2: Convert to fraction form
6,709.25/14,284.75 = 14,284.75/x - Step 3: Cross multiply
6,709.25x = 14,284.75 × 14,284.75 - Step 4: Simplify right side
6,709.25x = 204,054,082.56 - Step 5: Solve for x
x = 204,054,082.56/6,709.25 - Step 6: Final answer
x = 30,413.84
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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.