Finding the Third Proportional to 13,824.75 and 21,261.75
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Solution
The third proportional to 13,824.75 and 21,261.75 is: 32,699.47
Step by Step Solution
- Step 1: Write the proportion equation
13,824.75 : 21,261.75 = 21,261.75 : x - Step 2: Convert to fraction form
13,824.75/21,261.75 = 21,261.75/x - Step 3: Cross multiply
13,824.75x = 21,261.75 × 21,261.75 - Step 4: Simplify right side
13,824.75x = 452,062,013.06 - Step 5: Solve for x
x = 452,062,013.06/13,824.75 - Step 6: Final answer
x = 32,699.47
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Why These Related Problems?
These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.