Finding the Third Proportional to 7,225 and 15,022
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Solution
The third proportional to 7,225 and 15,022 is: 31,233.28
Step by Step Solution
- Step 1: Write the proportion equation
7,225 : 15,022 = 15,022 : x - Step 2: Convert to fraction form
7,225/15,022 = 15,022/x - Step 3: Cross multiply
7,225x = 15,022 × 15,022 - Step 4: Simplify right side
7,225x = 225,660,484 - Step 5: Solve for x
x = 225,660,484/7,225 - Step 6: Final answer
x = 31,233.28
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.