Finding the Third Proportional to 5,202 and 9,996
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Solution
The third proportional to 5,202 and 9,996 is: 19,208
Step by Step Solution
- Step 1: Write the proportion equation
5,202 : 9,996 = 9,996 : x - Step 2: Convert to fraction form
5,202/9,996 = 9,996/x - Step 3: Cross multiply
5,202x = 9,996 × 9,996 - Step 4: Simplify right side
5,202x = 99,920,016 - Step 5: Solve for x
x = 99,920,016/5,202 - Step 6: Final answer
x = 19,208
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Why These Related Problems?
These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.