Finding the Third Proportional to 2,542 and 5,570
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Solution
The third proportional to 2,542 and 5,570 is: 12,204.92
Step by Step Solution
- Step 1: Write the proportion equation
2,542 : 5,570 = 5,570 : x - Step 2: Convert to fraction form
2,542/5,570 = 5,570/x - Step 3: Cross multiply
2,542x = 5,570 × 5,570 - Step 4: Simplify right side
2,542x = 31,024,900 - Step 5: Solve for x
x = 31,024,900/2,542 - Step 6: Final answer
x = 12,204.92
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.