Finding the Third Proportional to 7,206 and 15,744
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Solution
The third proportional to 7,206 and 15,744 is: 34,398.21
Step by Step Solution
- Step 1: Write the proportion equation
7,206 : 15,744 = 15,744 : x - Step 2: Convert to fraction form
7,206/15,744 = 15,744/x - Step 3: Cross multiply
7,206x = 15,744 × 15,744 - Step 4: Simplify right side
7,206x = 247,873,536 - Step 5: Solve for x
x = 247,873,536/7,206 - Step 6: Final answer
x = 34,398.21
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.