Finding the Third Proportional to 24,830 and 54,036
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Solution
The third proportional to 24,830 and 54,036 is: 117,595.22
Step by Step Solution
- Step 1: Write the proportion equation
24,830 : 54,036 = 54,036 : x - Step 2: Convert to fraction form
24,830/54,036 = 54,036/x - Step 3: Cross multiply
24,830x = 54,036 × 54,036 - Step 4: Simplify right side
24,830x = 2,919,889,296 - Step 5: Solve for x
x = 2,919,889,296/24,830 - Step 6: Final answer
x = 117,595.22
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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.