Finding the Third Proportional to 12,811.50 and 19,872
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Solution
The third proportional to 12,811.50 and 19,872 is: 30,823.59
Step by Step Solution
- Step 1: Write the proportion equation
12,811.50 : 19,872 = 19,872 : x - Step 2: Convert to fraction form
12,811.50/19,872 = 19,872/x - Step 3: Cross multiply
12,811.50x = 19,872 × 19,872 - Step 4: Simplify right side
12,811.50x = 394,896,384 - Step 5: Solve for x
x = 394,896,384/12,811.50 - Step 6: Final answer
x = 30,823.59
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.