Finding the Third Proportional to 49,431 and 106,638
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Solution
The third proportional to 49,431 and 106,638 is: 230,051.24
Step by Step Solution
- Step 1: Write the proportion equation
49,431 : 106,638 = 106,638 : x - Step 2: Convert to fraction form
49,431/106,638 = 106,638/x - Step 3: Cross multiply
49,431x = 106,638 × 106,638 - Step 4: Simplify right side
49,431x = 11,371,663,044 - Step 5: Solve for x
x = 11,371,663,044/49,431 - Step 6: Final answer
x = 230,051.24
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.