Finding the Third Proportional to 7,722 and 12,434
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Solution
The third proportional to 7,722 and 12,434 is: 20,021.28
Step by Step Solution
- Step 1: Write the proportion equation
7,722 : 12,434 = 12,434 : x - Step 2: Convert to fraction form
7,722/12,434 = 12,434/x - Step 3: Cross multiply
7,722x = 12,434 × 12,434 - Step 4: Simplify right side
7,722x = 154,604,356 - Step 5: Solve for x
x = 154,604,356/7,722 - Step 6: Final answer
x = 20,021.28
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Why These Related Problems?
These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.