Finding the Third Proportional to 10,239 and 21,570
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Solution
The third proportional to 10,239 and 21,570 is: 45,440.46
Step by Step Solution
- Step 1: Write the proportion equation
10,239 : 21,570 = 21,570 : x - Step 2: Convert to fraction form
10,239/21,570 = 21,570/x - Step 3: Cross multiply
10,239x = 21,570 × 21,570 - Step 4: Simplify right side
10,239x = 465,264,900 - Step 5: Solve for x
x = 465,264,900/10,239 - Step 6: Final answer
x = 45,440.46
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Why These Related Problems?
These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.