Finding the Third Proportional to 24,112 and 32,000
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Solution
The third proportional to 24,112 and 32,000 is: 42,468.48
Step by Step Solution
- Step 1: Write the proportion equation
24,112 : 32,000 = 32,000 : x - Step 2: Convert to fraction form
24,112/32,000 = 32,000/x - Step 3: Cross multiply
24,112x = 32,000 × 32,000 - Step 4: Simplify right side
24,112x = 1,024,000,000 - Step 5: Solve for x
x = 1,024,000,000/24,112 - Step 6: Final answer
x = 42,468.48
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Why These Related Problems?
These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.