Finding the Third Proportional to 5,409.75 and 11,682.75
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Solution
The third proportional to 5,409.75 and 11,682.75 is: 25,229.75
Step by Step Solution
- Step 1: Write the proportion equation
5,409.75 : 11,682.75 = 11,682.75 : x - Step 2: Convert to fraction form
5,409.75/11,682.75 = 11,682.75/x - Step 3: Cross multiply
5,409.75x = 11,682.75 × 11,682.75 - Step 4: Simplify right side
5,409.75x = 136,486,647.56 - Step 5: Solve for x
x = 136,486,647.56/5,409.75 - Step 6: Final answer
x = 25,229.75
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.