Finding the Third Proportional to 30,986 and 67,886
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Solution
The third proportional to 30,986 and 67,886 is: 148,728.75
Step by Step Solution
- Step 1: Write the proportion equation
30,986 : 67,886 = 67,886 : x - Step 2: Convert to fraction form
30,986/67,886 = 67,886/x - Step 3: Cross multiply
30,986x = 67,886 × 67,886 - Step 4: Simplify right side
30,986x = 4,608,508,996 - Step 5: Solve for x
x = 4,608,508,996/30,986 - Step 6: Final answer
x = 148,728.75
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.