Finding the Third Proportional to 47,992 and 76,674
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Solution
The third proportional to 47,992 and 76,674 is: 122,497.55
Step by Step Solution
- Step 1: Write the proportion equation
47,992 : 76,674 = 76,674 : x - Step 2: Convert to fraction form
47,992/76,674 = 76,674/x - Step 3: Cross multiply
47,992x = 76,674 × 76,674 - Step 4: Simplify right side
47,992x = 5,878,902,276 - Step 5: Solve for x
x = 5,878,902,276/47,992 - Step 6: Final answer
x = 122,497.55
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Why These Related Problems?
These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.