Finding the Third Proportional to 52,000 and 76,050
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Solution
The third proportional to 52,000 and 76,050 is: 111,223.13
Step by Step Solution
- Step 1: Write the proportion equation
52,000 : 76,050 = 76,050 : x - Step 2: Convert to fraction form
52,000/76,050 = 76,050/x - Step 3: Cross multiply
52,000x = 76,050 × 76,050 - Step 4: Simplify right side
52,000x = 5,783,602,500 - Step 5: Solve for x
x = 5,783,602,500/52,000 - Step 6: Final answer
x = 111,223.13
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Why These Related Problems?
These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.