Finding the Third Proportional to 32,976 and 51,000
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Solution
The third proportional to 32,976 and 51,000 is: 78,875.55
Step by Step Solution
- Step 1: Write the proportion equation
32,976 : 51,000 = 51,000 : x - Step 2: Convert to fraction form
32,976/51,000 = 51,000/x - Step 3: Cross multiply
32,976x = 51,000 × 51,000 - Step 4: Simplify right side
32,976x = 2,601,000,000 - Step 5: Solve for x
x = 2,601,000,000/32,976 - Step 6: Final answer
x = 78,875.55
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.