Finding the Third Proportional to 7,182 and 10,494
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Solution
The third proportional to 7,182 and 10,494 is: 15,333.34
Step by Step Solution
- Step 1: Write the proportion equation
7,182 : 10,494 = 10,494 : x - Step 2: Convert to fraction form
7,182/10,494 = 10,494/x - Step 3: Cross multiply
7,182x = 10,494 × 10,494 - Step 4: Simplify right side
7,182x = 110,124,036 - Step 5: Solve for x
x = 110,124,036/7,182 - Step 6: Final answer
x = 15,333.34
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Why These Related Problems?
These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.