Finding the Third Proportional to 23,106 and 35,763
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Solution
The third proportional to 23,106 and 35,763 is: 55,353.25
Step by Step Solution
- Step 1: Write the proportion equation
23,106 : 35,763 = 35,763 : x - Step 2: Convert to fraction form
23,106/35,763 = 35,763/x - Step 3: Cross multiply
23,106x = 35,763 × 35,763 - Step 4: Simplify right side
23,106x = 1,278,992,169 - Step 5: Solve for x
x = 1,278,992,169/23,106 - Step 6: Final answer
x = 55,353.25
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.