Finding the Third Proportional to 23,174 and 49,946
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Solution
The third proportional to 23,174 and 49,946 is: 107,646.63
Step by Step Solution
- Step 1: Write the proportion equation
23,174 : 49,946 = 49,946 : x - Step 2: Convert to fraction form
23,174/49,946 = 49,946/x - Step 3: Cross multiply
23,174x = 49,946 × 49,946 - Step 4: Simplify right side
23,174x = 2,494,602,916 - Step 5: Solve for x
x = 2,494,602,916/23,174 - Step 6: Final answer
x = 107,646.63
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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.