Finding the Third Proportional to 1,313 and 2,786
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Solution
The third proportional to 1,313 and 2,786 is: 5,911.50
Step by Step Solution
- Step 1: Write the proportion equation
1,313 : 2,786 = 2,786 : x - Step 2: Convert to fraction form
1,313/2,786 = 2,786/x - Step 3: Cross multiply
1,313x = 2,786 × 2,786 - Step 4: Simplify right side
1,313x = 7,761,796 - Step 5: Solve for x
x = 7,761,796/1,313 - Step 6: Final answer
x = 5,911.50
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.