Finding the Third Proportional to 10,746 and 24,000
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Solution
The third proportional to 10,746 and 24,000 is: 53,601.34
Step by Step Solution
- Step 1: Write the proportion equation
10,746 : 24,000 = 24,000 : x - Step 2: Convert to fraction form
10,746/24,000 = 24,000/x - Step 3: Cross multiply
10,746x = 24,000 × 24,000 - Step 4: Simplify right side
10,746x = 576,000,000 - Step 5: Solve for x
x = 576,000,000/10,746 - Step 6: Final answer
x = 53,601.34
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.