Finding the Third Proportional to 10,712 and 21,946
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Solution
The third proportional to 10,712 and 21,946 is: 44,961.44
Step by Step Solution
- Step 1: Write the proportion equation
10,712 : 21,946 = 21,946 : x - Step 2: Convert to fraction form
10,712/21,946 = 21,946/x - Step 3: Cross multiply
10,712x = 21,946 × 21,946 - Step 4: Simplify right side
10,712x = 481,626,916 - Step 5: Solve for x
x = 481,626,916/10,712 - Step 6: Final answer
x = 44,961.44
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.