Finding the Third Proportional to 9,696 and 15,492
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Solution
The third proportional to 9,696 and 15,492 is: 24,752.69
Step by Step Solution
- Step 1: Write the proportion equation
9,696 : 15,492 = 15,492 : x - Step 2: Convert to fraction form
9,696/15,492 = 15,492/x - Step 3: Cross multiply
9,696x = 15,492 × 15,492 - Step 4: Simplify right side
9,696x = 240,002,064 - Step 5: Solve for x
x = 240,002,064/9,696 - Step 6: Final answer
x = 24,752.69
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Why These Related Problems?
These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.