Finding the Third Proportional to 23,420 and 50,146
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Solution
The third proportional to 23,420 and 50,146 is: 107,370.68
Step by Step Solution
- Step 1: Write the proportion equation
23,420 : 50,146 = 50,146 : x - Step 2: Convert to fraction form
23,420/50,146 = 50,146/x - Step 3: Cross multiply
23,420x = 50,146 × 50,146 - Step 4: Simplify right side
23,420x = 2,514,621,316 - Step 5: Solve for x
x = 2,514,621,316/23,420 - Step 6: Final answer
x = 107,370.68
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.