Finding the Third Proportional to 12,924 and 20,498
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Solution
The third proportional to 12,924 and 20,498 is: 32,510.68
Step by Step Solution
- Step 1: Write the proportion equation
12,924 : 20,498 = 20,498 : x - Step 2: Convert to fraction form
12,924/20,498 = 20,498/x - Step 3: Cross multiply
12,924x = 20,498 × 20,498 - Step 4: Simplify right side
12,924x = 420,168,004 - Step 5: Solve for x
x = 420,168,004/12,924 - Step 6: Final answer
x = 32,510.68
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.