Finding the Third Proportional to 23,492 and 50,678
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Solution
The third proportional to 23,492 and 50,678 is: 109,324.86
Step by Step Solution
- Step 1: Write the proportion equation
23,492 : 50,678 = 50,678 : x - Step 2: Convert to fraction form
23,492/50,678 = 50,678/x - Step 3: Cross multiply
23,492x = 50,678 × 50,678 - Step 4: Simplify right side
23,492x = 2,568,259,684 - Step 5: Solve for x
x = 2,568,259,684/23,492 - Step 6: Final answer
x = 109,324.86
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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.