Finding the Third Proportional to 725 and 1,546
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Solution
The third proportional to 725 and 1,546 is: 3,296.71
Step by Step Solution
- Step 1: Write the proportion equation
725 : 1,546 = 1,546 : x - Step 2: Convert to fraction form
725/1,546 = 1,546/x - Step 3: Cross multiply
725x = 1,546 × 1,546 - Step 4: Simplify right side
725x = 2,390,116 - Step 5: Solve for x
x = 2,390,116/725 - Step 6: Final answer
x = 3,296.71
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.