Finding the Third Proportional to 23,870 and 30,724
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Solution
The third proportional to 23,870 and 30,724 is: 39,546.05
Step by Step Solution
- Step 1: Write the proportion equation
23,870 : 30,724 = 30,724 : x - Step 2: Convert to fraction form
23,870/30,724 = 30,724/x - Step 3: Cross multiply
23,870x = 30,724 × 30,724 - Step 4: Simplify right side
23,870x = 943,964,176 - Step 5: Solve for x
x = 943,964,176/23,870 - Step 6: Final answer
x = 39,546.05
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Why These Related Problems?
These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.