Finding the Third Proportional to 10,309 and 16,598
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Solution
The third proportional to 10,309 and 16,598 is: 26,723.60
Step by Step Solution
- Step 1: Write the proportion equation
10,309 : 16,598 = 16,598 : x - Step 2: Convert to fraction form
10,309/16,598 = 16,598/x - Step 3: Cross multiply
10,309x = 16,598 × 16,598 - Step 4: Simplify right side
10,309x = 275,493,604 - Step 5: Solve for x
x = 275,493,604/10,309 - Step 6: Final answer
x = 26,723.60
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Why These Related Problems?
These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.