Finding the Third Proportional to 31,855 and 49,423
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Solution
The third proportional to 31,855 and 49,423 is: 76,679.73
Step by Step Solution
- Step 1: Write the proportion equation
31,855 : 49,423 = 49,423 : x - Step 2: Convert to fraction form
31,855/49,423 = 49,423/x - Step 3: Cross multiply
31,855x = 49,423 × 49,423 - Step 4: Simplify right side
31,855x = 2,442,632,929 - Step 5: Solve for x
x = 2,442,632,929/31,855 - Step 6: Final answer
x = 76,679.73
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.