Finding the Third Proportional to 27,576 and 38,448
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Solution
The third proportional to 27,576 and 38,448 is: 53,606.35
Step by Step Solution
- Step 1: Write the proportion equation
27,576 : 38,448 = 38,448 : x - Step 2: Convert to fraction form
27,576/38,448 = 38,448/x - Step 3: Cross multiply
27,576x = 38,448 × 38,448 - Step 4: Simplify right side
27,576x = 1,478,248,704 - Step 5: Solve for x
x = 1,478,248,704/27,576 - Step 6: Final answer
x = 53,606.35
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Why These Related Problems?
These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.