Finding the Third Proportional to 13,574 and 17,890
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Solution
The third proportional to 13,574 and 17,890 is: 23,578.32
Step by Step Solution
- Step 1: Write the proportion equation
13,574 : 17,890 = 17,890 : x - Step 2: Convert to fraction form
13,574/17,890 = 17,890/x - Step 3: Cross multiply
13,574x = 17,890 × 17,890 - Step 4: Simplify right side
13,574x = 320,052,100 - Step 5: Solve for x
x = 320,052,100/13,574 - Step 6: Final answer
x = 23,578.32
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Why These Related Problems?
These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.