Finding the Third Proportional to 5,004 and 9,876
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Solution
The third proportional to 5,004 and 9,876 is: 19,491.48
Step by Step Solution
- Step 1: Write the proportion equation
5,004 : 9,876 = 9,876 : x - Step 2: Convert to fraction form
5,004/9,876 = 9,876/x - Step 3: Cross multiply
5,004x = 9,876 × 9,876 - Step 4: Simplify right side
5,004x = 97,535,376 - Step 5: Solve for x
x = 97,535,376/5,004 - Step 6: Final answer
x = 19,491.48
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Why These Related Problems?
These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.