Finding the Third Proportional to 24,576 and 36,928
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Solution
The third proportional to 24,576 and 36,928 is: 55,488.17
Step by Step Solution
- Step 1: Write the proportion equation
24,576 : 36,928 = 36,928 : x - Step 2: Convert to fraction form
24,576/36,928 = 36,928/x - Step 3: Cross multiply
24,576x = 36,928 × 36,928 - Step 4: Simplify right side
24,576x = 1,363,677,184 - Step 5: Solve for x
x = 1,363,677,184/24,576 - Step 6: Final answer
x = 55,488.17
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.