Finding the Third Proportional to 669 and 1,743
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Solution
The third proportional to 669 and 1,743 is: 4,541.18
Step by Step Solution
- Step 1: Write the proportion equation
669 : 1,743 = 1,743 : x - Step 2: Convert to fraction form
669/1,743 = 1,743/x - Step 3: Cross multiply
669x = 1,743 × 1,743 - Step 4: Simplify right side
669x = 3,038,049 - Step 5: Solve for x
x = 3,038,049/669 - Step 6: Final answer
x = 4,541.18
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Why These Related Problems?
These problems maintain the same ratio (2.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.