Finding the Third Proportional to 5,205.75 and 7,416.75
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Solution
The third proportional to 5,205.75 and 7,416.75 is: 10,566.81
Step by Step Solution
- Step 1: Write the proportion equation
5,205.75 : 7,416.75 = 7,416.75 : x - Step 2: Convert to fraction form
5,205.75/7,416.75 = 7,416.75/x - Step 3: Cross multiply
5,205.75x = 7,416.75 × 7,416.75 - Step 4: Simplify right side
5,205.75x = 55,008,180.56 - Step 5: Solve for x
x = 55,008,180.56/5,205.75 - Step 6: Final answer
x = 10,566.81
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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.