Finding the Third Proportional to 31,608 and 46,243
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Solution
The third proportional to 31,608 and 46,243 is: 67,654.23
Step by Step Solution
- Step 1: Write the proportion equation
31,608 : 46,243 = 46,243 : x - Step 2: Convert to fraction form
31,608/46,243 = 46,243/x - Step 3: Cross multiply
31,608x = 46,243 × 46,243 - Step 4: Simplify right side
31,608x = 2,138,415,049 - Step 5: Solve for x
x = 2,138,415,049/31,608 - Step 6: Final answer
x = 67,654.23
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Why These Related Problems?
These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.