Finding the Third Proportional to 23,814 and 52,236
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Solution
The third proportional to 23,814 and 52,236 is: 114,579.65
Step by Step Solution
- Step 1: Write the proportion equation
23,814 : 52,236 = 52,236 : x - Step 2: Convert to fraction form
23,814/52,236 = 52,236/x - Step 3: Cross multiply
23,814x = 52,236 × 52,236 - Step 4: Simplify right side
23,814x = 2,728,599,696 - Step 5: Solve for x
x = 2,728,599,696/23,814 - Step 6: Final answer
x = 114,579.65
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.