Finding the Third Proportional to 34,322 and 51,847
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Solution
The third proportional to 34,322 and 51,847 is: 78,320.36
Step by Step Solution
- Step 1: Write the proportion equation
34,322 : 51,847 = 51,847 : x - Step 2: Convert to fraction form
34,322/51,847 = 51,847/x - Step 3: Cross multiply
34,322x = 51,847 × 51,847 - Step 4: Simplify right side
34,322x = 2,688,111,409 - Step 5: Solve for x
x = 2,688,111,409/34,322 - Step 6: Final answer
x = 78,320.36
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.