Finding the Third Proportional to 13,825 and 30,242
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Solution
The third proportional to 13,825 and 30,242 is: 66,153.96
Step by Step Solution
- Step 1: Write the proportion equation
13,825 : 30,242 = 30,242 : x - Step 2: Convert to fraction form
13,825/30,242 = 30,242/x - Step 3: Cross multiply
13,825x = 30,242 × 30,242 - Step 4: Simplify right side
13,825x = 914,578,564 - Step 5: Solve for x
x = 914,578,564/13,825 - Step 6: Final answer
x = 66,153.96
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.