Finding the Third Proportional to 7,775 and 8,909
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Solution
The third proportional to 7,775 and 8,909 is: 10,208.40
Step by Step Solution
- Step 1: Write the proportion equation
7,775 : 8,909 = 8,909 : x - Step 2: Convert to fraction form
7,775/8,909 = 8,909/x - Step 3: Cross multiply
7,775x = 8,909 × 8,909 - Step 4: Simplify right side
7,775x = 79,370,281 - Step 5: Solve for x
x = 79,370,281/7,775 - Step 6: Final answer
x = 10,208.40
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Why These Related Problems?
These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.