Finding the Third Proportional to 31,903 and 69,546
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Solution
The third proportional to 31,903 and 69,546 is: 151,604.74
Step by Step Solution
- Step 1: Write the proportion equation
31,903 : 69,546 = 69,546 : x - Step 2: Convert to fraction form
31,903/69,546 = 69,546/x - Step 3: Cross multiply
31,903x = 69,546 × 69,546 - Step 4: Simplify right side
31,903x = 4,836,646,116 - Step 5: Solve for x
x = 4,836,646,116/31,903 - Step 6: Final answer
x = 151,604.74
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.