Finding the Third Proportional to 31,788 and 67,797
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Solution
The third proportional to 31,788 and 67,797 is: 144,596.49
Step by Step Solution
- Step 1: Write the proportion equation
31,788 : 67,797 = 67,797 : x - Step 2: Convert to fraction form
31,788/67,797 = 67,797/x - Step 3: Cross multiply
31,788x = 67,797 × 67,797 - Step 4: Simplify right side
31,788x = 4,596,433,209 - Step 5: Solve for x
x = 4,596,433,209/31,788 - Step 6: Final answer
x = 144,596.49
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.