Finding the Third Proportional to 27,746 and 49,324
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Solution
The third proportional to 27,746 and 49,324 is: 87,683.16
Step by Step Solution
- Step 1: Write the proportion equation
27,746 : 49,324 = 49,324 : x - Step 2: Convert to fraction form
27,746/49,324 = 49,324/x - Step 3: Cross multiply
27,746x = 49,324 × 49,324 - Step 4: Simplify right side
27,746x = 2,432,856,976 - Step 5: Solve for x
x = 2,432,856,976/27,746 - Step 6: Final answer
x = 87,683.16
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Why These Related Problems?
These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.