Finding the Third Proportional to 5,202 and 5,751
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Solution
The third proportional to 5,202 and 5,751 is: 6,357.94
Step by Step Solution
- Step 1: Write the proportion equation
5,202 : 5,751 = 5,751 : x - Step 2: Convert to fraction form
5,202/5,751 = 5,751/x - Step 3: Cross multiply
5,202x = 5,751 × 5,751 - Step 4: Simplify right side
5,202x = 33,074,001 - Step 5: Solve for x
x = 33,074,001/5,202 - Step 6: Final answer
x = 6,357.94
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Why These Related Problems?
These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.