Finding the Third Proportional to 824 and 1,489
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Solution
The third proportional to 824 and 1,489 is: 2,690.68
Step by Step Solution
- Step 1: Write the proportion equation
824 : 1,489 = 1,489 : x - Step 2: Convert to fraction form
824/1,489 = 1,489/x - Step 3: Cross multiply
824x = 1,489 × 1,489 - Step 4: Simplify right side
824x = 2,217,121 - Step 5: Solve for x
x = 2,217,121/824 - Step 6: Final answer
x = 2,690.68
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Why These Related Problems?
These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.