Finding the Third Proportional to 1,320 and 2,841
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Solution
The third proportional to 1,320 and 2,841 is: 6,114.61
Step by Step Solution
- Step 1: Write the proportion equation
1,320 : 2,841 = 2,841 : x - Step 2: Convert to fraction form
1,320/2,841 = 2,841/x - Step 3: Cross multiply
1,320x = 2,841 × 2,841 - Step 4: Simplify right side
1,320x = 8,071,281 - Step 5: Solve for x
x = 8,071,281/1,320 - Step 6: Final answer
x = 6,114.61
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.