Finding the Third Proportional to 47,879 and 75,778
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Solution
The third proportional to 47,879 and 75,778 is: 119,933.69
Step by Step Solution
- Step 1: Write the proportion equation
47,879 : 75,778 = 75,778 : x - Step 2: Convert to fraction form
47,879/75,778 = 75,778/x - Step 3: Cross multiply
47,879x = 75,778 × 75,778 - Step 4: Simplify right side
47,879x = 5,742,305,284 - Step 5: Solve for x
x = 5,742,305,284/47,879 - Step 6: Final answer
x = 119,933.69
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Why These Related Problems?
These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.