Finding the Third Proportional to 12,017.50 and 25,769
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Solution
The third proportional to 12,017.50 and 25,769 is: 55,256.20
Step by Step Solution
- Step 1: Write the proportion equation
12,017.50 : 25,769 = 25,769 : x - Step 2: Convert to fraction form
12,017.50/25,769 = 25,769/x - Step 3: Cross multiply
12,017.50x = 25,769 × 25,769 - Step 4: Simplify right side
12,017.50x = 664,041,361 - Step 5: Solve for x
x = 664,041,361/12,017.50 - Step 6: Final answer
x = 55,256.20
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.