Finding the Third Proportional to 1,682.44 and 2,582.44
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Solution
The third proportional to 1,682.44 and 2,582.44 is: 3,963.88
Step by Step Solution
- Step 1: Write the proportion equation
1,682.44 : 2,582.44 = 2,582.44 : x - Step 2: Convert to fraction form
1,682.44/2,582.44 = 2,582.44/x - Step 3: Cross multiply
1,682.44x = 2,582.44 × 2,582.44 - Step 4: Simplify right side
1,682.44x = 6,668,983.44 - Step 5: Solve for x
x = 6,668,983.44/1,682.44 - Step 6: Final answer
x = 3,963.88
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Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.