Finding the Third Proportional to 23,856 and 50,784
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Solution
The third proportional to 23,856 and 50,784 is: 108,107.59
Step by Step Solution
- Step 1: Write the proportion equation
23,856 : 50,784 = 50,784 : x - Step 2: Convert to fraction form
23,856/50,784 = 50,784/x - Step 3: Cross multiply
23,856x = 50,784 × 50,784 - Step 4: Simplify right side
23,856x = 2,579,014,656 - Step 5: Solve for x
x = 2,579,014,656/23,856 - Step 6: Final answer
x = 108,107.59
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.