Finding the Third Proportional to 7,981.50 and 17,049
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Solution
The third proportional to 7,981.50 and 17,049 is: 36,417.77
Step by Step Solution
- Step 1: Write the proportion equation
7,981.50 : 17,049 = 17,049 : x - Step 2: Convert to fraction form
7,981.50/17,049 = 17,049/x - Step 3: Cross multiply
7,981.50x = 17,049 × 17,049 - Step 4: Simplify right side
7,981.50x = 290,668,401 - Step 5: Solve for x
x = 290,668,401/7,981.50 - Step 6: Final answer
x = 36,417.77
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.