Finding the Third Proportional to 7,768 and 16,295
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Solution
The third proportional to 7,768 and 16,295 is: 34,182.16
Step by Step Solution
- Step 1: Write the proportion equation
7,768 : 16,295 = 16,295 : x - Step 2: Convert to fraction form
7,768/16,295 = 16,295/x - Step 3: Cross multiply
7,768x = 16,295 × 16,295 - Step 4: Simplify right side
7,768x = 265,527,025 - Step 5: Solve for x
x = 265,527,025/7,768 - Step 6: Final answer
x = 34,182.16
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Why These Related Problems?
These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.