Finding the Third Proportional to 23,847 and 51,798
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Solution
The third proportional to 23,847 and 51,798 is: 112,510.29
Step by Step Solution
- Step 1: Write the proportion equation
23,847 : 51,798 = 51,798 : x - Step 2: Convert to fraction form
23,847/51,798 = 51,798/x - Step 3: Cross multiply
23,847x = 51,798 × 51,798 - Step 4: Simplify right side
23,847x = 2,683,032,804 - Step 5: Solve for x
x = 2,683,032,804/23,847 - Step 6: Final answer
x = 112,510.29
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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.