Finding the Third Proportional to 30,882 and 67,548
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Solution
The third proportional to 30,882 and 67,548 is: 147,747.31
Step by Step Solution
- Step 1: Write the proportion equation
30,882 : 67,548 = 67,548 : x - Step 2: Convert to fraction form
30,882/67,548 = 67,548/x - Step 3: Cross multiply
30,882x = 67,548 × 67,548 - Step 4: Simplify right side
30,882x = 4,562,732,304 - Step 5: Solve for x
x = 4,562,732,304/30,882 - Step 6: Final answer
x = 147,747.31
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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.