Finding the Third Proportional to 31,718 and 68,308
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Solution
The third proportional to 31,718 and 68,308 is: 147,108.36
Step by Step Solution
- Step 1: Write the proportion equation
31,718 : 68,308 = 68,308 : x - Step 2: Convert to fraction form
31,718/68,308 = 68,308/x - Step 3: Cross multiply
31,718x = 68,308 × 68,308 - Step 4: Simplify right side
31,718x = 4,665,982,864 - Step 5: Solve for x
x = 4,665,982,864/31,718 - Step 6: Final answer
x = 147,108.36
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.