Finding the Third Proportional to 53,424 and 75,936
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Solution
The third proportional to 53,424 and 75,936 is: 107,934.19
Step by Step Solution
- Step 1: Write the proportion equation
53,424 : 75,936 = 75,936 : x - Step 2: Convert to fraction form
53,424/75,936 = 75,936/x - Step 3: Cross multiply
53,424x = 75,936 × 75,936 - Step 4: Simplify right side
53,424x = 5,766,276,096 - Step 5: Solve for x
x = 5,766,276,096/53,424 - Step 6: Final answer
x = 107,934.19
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Why These Related Problems?
These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.