Finding the Third Proportional to 13,758 and 28,242
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Solution
The third proportional to 13,758 and 28,242 is: 57,974.31
Step by Step Solution
- Step 1: Write the proportion equation
13,758 : 28,242 = 28,242 : x - Step 2: Convert to fraction form
13,758/28,242 = 28,242/x - Step 3: Cross multiply
13,758x = 28,242 × 28,242 - Step 4: Simplify right side
13,758x = 797,610,564 - Step 5: Solve for x
x = 797,610,564/13,758 - Step 6: Final answer
x = 57,974.31
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.