Finding the Third Proportional to 5,777 and 12,566
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Solution
The third proportional to 5,777 and 12,566 is: 27,333.28
Step by Step Solution
- Step 1: Write the proportion equation
5,777 : 12,566 = 12,566 : x - Step 2: Convert to fraction form
5,777/12,566 = 12,566/x - Step 3: Cross multiply
5,777x = 12,566 × 12,566 - Step 4: Simplify right side
5,777x = 157,904,356 - Step 5: Solve for x
x = 157,904,356/5,777 - Step 6: Final answer
x = 27,333.28
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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.