Finding the Third Proportional to 5,095 and 10,744
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Solution
The third proportional to 5,095 and 10,744 is: 22,656.24
Step by Step Solution
- Step 1: Write the proportion equation
5,095 : 10,744 = 10,744 : x - Step 2: Convert to fraction form
5,095/10,744 = 10,744/x - Step 3: Cross multiply
5,095x = 10,744 × 10,744 - Step 4: Simplify right side
5,095x = 115,433,536 - Step 5: Solve for x
x = 115,433,536/5,095 - Step 6: Final answer
x = 22,656.24
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Why These Related Problems?
These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.