Finding the Third Proportional to 10,963 and 23,774
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Solution
The third proportional to 10,963 and 23,774 is: 51,555.51
Step by Step Solution
- Step 1: Write the proportion equation
10,963 : 23,774 = 23,774 : x - Step 2: Convert to fraction form
10,963/23,774 = 23,774/x - Step 3: Cross multiply
10,963x = 23,774 × 23,774 - Step 4: Simplify right side
10,963x = 565,203,076 - Step 5: Solve for x
x = 565,203,076/10,963 - Step 6: Final answer
x = 51,555.51
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.