Finding the Third Proportional to 49,896 and 76,300
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Solution
The third proportional to 49,896 and 76,300 is: 116,676.49
Step by Step Solution
- Step 1: Write the proportion equation
49,896 : 76,300 = 76,300 : x - Step 2: Convert to fraction form
49,896/76,300 = 76,300/x - Step 3: Cross multiply
49,896x = 76,300 × 76,300 - Step 4: Simplify right side
49,896x = 5,821,690,000 - Step 5: Solve for x
x = 5,821,690,000/49,896 - Step 6: Final answer
x = 116,676.49
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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.