Finding the Third Proportional to 1,568 and 3,416
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Solution
The third proportional to 1,568 and 3,416 is: 7,442
Step by Step Solution
- Step 1: Write the proportion equation
1,568 : 3,416 = 3,416 : x - Step 2: Convert to fraction form
1,568/3,416 = 3,416/x - Step 3: Cross multiply
1,568x = 3,416 × 3,416 - Step 4: Simplify right side
1,568x = 11,669,056 - Step 5: Solve for x
x = 11,669,056/1,568 - Step 6: Final answer
x = 7,442
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.