Finding the Third Proportional to 49,307 and 107,830
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Solution
The third proportional to 49,307 and 107,830 is: 235,814.57
Step by Step Solution
- Step 1: Write the proportion equation
49,307 : 107,830 = 107,830 : x - Step 2: Convert to fraction form
49,307/107,830 = 107,830/x - Step 3: Cross multiply
49,307x = 107,830 × 107,830 - Step 4: Simplify right side
49,307x = 11,627,308,900 - Step 5: Solve for x
x = 11,627,308,900/49,307 - Step 6: Final answer
x = 235,814.57
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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.