Finding the Third Proportional to 11,564 and 13,268
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Solution
The third proportional to 11,564 and 13,268 is: 15,223.09
Step by Step Solution
- Step 1: Write the proportion equation
11,564 : 13,268 = 13,268 : x - Step 2: Convert to fraction form
11,564/13,268 = 13,268/x - Step 3: Cross multiply
11,564x = 13,268 × 13,268 - Step 4: Simplify right side
11,564x = 176,039,824 - Step 5: Solve for x
x = 176,039,824/11,564 - Step 6: Final answer
x = 15,223.09
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Why These Related Problems?
These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.