Finding the Third Proportional to 5,654 and 12,000
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Solution
The third proportional to 5,654 and 12,000 is: 25,468.69
Step by Step Solution
- Step 1: Write the proportion equation
5,654 : 12,000 = 12,000 : x - Step 2: Convert to fraction form
5,654/12,000 = 12,000/x - Step 3: Cross multiply
5,654x = 12,000 × 12,000 - Step 4: Simplify right side
5,654x = 144,000,000 - Step 5: Solve for x
x = 144,000,000/5,654 - Step 6: Final answer
x = 25,468.69
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.