Finding the Third Proportional to 50,448 and 78,000
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Solution
The third proportional to 50,448 and 78,000 is: 120,599.43
Step by Step Solution
- Step 1: Write the proportion equation
50,448 : 78,000 = 78,000 : x - Step 2: Convert to fraction form
50,448/78,000 = 78,000/x - Step 3: Cross multiply
50,448x = 78,000 × 78,000 - Step 4: Simplify right side
50,448x = 6,084,000,000 - Step 5: Solve for x
x = 6,084,000,000/50,448 - Step 6: Final answer
x = 120,599.43
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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.