Finding the Third Proportional to 513 and 1,071
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Solution
The third proportional to 513 and 1,071 is: 2,235.95
Step by Step Solution
- Step 1: Write the proportion equation
513 : 1,071 = 1,071 : x - Step 2: Convert to fraction form
513/1,071 = 1,071/x - Step 3: Cross multiply
513x = 1,071 × 1,071 - Step 4: Simplify right side
513x = 1,147,041 - Step 5: Solve for x
x = 1,147,041/513 - Step 6: Final answer
x = 2,235.95
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Why These Related Problems?
These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.