Finding the Third Proportional to 47,736 and 100,270
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Solution
The third proportional to 47,736 and 100,270 is: 210,618.25
Step by Step Solution
- Step 1: Write the proportion equation
47,736 : 100,270 = 100,270 : x - Step 2: Convert to fraction form
47,736/100,270 = 100,270/x - Step 3: Cross multiply
47,736x = 100,270 × 100,270 - Step 4: Simplify right side
47,736x = 10,054,072,900 - Step 5: Solve for x
x = 10,054,072,900/47,736 - Step 6: Final answer
x = 210,618.25
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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.