Finding the Third Proportional to 31,757 and 67,888
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Solution
The third proportional to 31,757 and 67,888 is: 145,126.45
Step by Step Solution
- Step 1: Write the proportion equation
31,757 : 67,888 = 67,888 : x - Step 2: Convert to fraction form
31,757/67,888 = 67,888/x - Step 3: Cross multiply
31,757x = 67,888 × 67,888 - Step 4: Simplify right side
31,757x = 4,608,780,544 - Step 5: Solve for x
x = 4,608,780,544/31,757 - Step 6: Final answer
x = 145,126.45
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.