Finding the Third Proportional to 9,612 and 17,784
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Solution
The third proportional to 9,612 and 17,784 is: 32,903.73
Step by Step Solution
- Step 1: Write the proportion equation
9,612 : 17,784 = 17,784 : x - Step 2: Convert to fraction form
9,612/17,784 = 17,784/x - Step 3: Cross multiply
9,612x = 17,784 × 17,784 - Step 4: Simplify right side
9,612x = 316,270,656 - Step 5: Solve for x
x = 316,270,656/9,612 - Step 6: Final answer
x = 32,903.73
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Why These Related Problems?
These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.