Finding the Third Proportional to 11,828 and 18,546
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Solution
The third proportional to 11,828 and 18,546 is: 29,079.65
Step by Step Solution
- Step 1: Write the proportion equation
11,828 : 18,546 = 18,546 : x - Step 2: Convert to fraction form
11,828/18,546 = 18,546/x - Step 3: Cross multiply
11,828x = 18,546 × 18,546 - Step 4: Simplify right side
11,828x = 343,954,116 - Step 5: Solve for x
x = 343,954,116/11,828 - Step 6: Final answer
x = 29,079.65
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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.