Finding the Third Proportional to 36,448 and 76,000
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Solution
The third proportional to 36,448 and 76,000 is: 158,472.34
Step by Step Solution
- Step 1: Write the proportion equation
36,448 : 76,000 = 76,000 : x - Step 2: Convert to fraction form
36,448/76,000 = 76,000/x - Step 3: Cross multiply
36,448x = 76,000 × 76,000 - Step 4: Simplify right side
36,448x = 5,776,000,000 - Step 5: Solve for x
x = 5,776,000,000/36,448 - Step 6: Final answer
x = 158,472.34
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Why These Related Problems?
These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.