Finding the Third Proportional to 20,442 and 32,607
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Solution
The third proportional to 20,442 and 32,607 is: 52,011.37
Step by Step Solution
- Step 1: Write the proportion equation
20,442 : 32,607 = 32,607 : x - Step 2: Convert to fraction form
20,442/32,607 = 32,607/x - Step 3: Cross multiply
20,442x = 32,607 × 32,607 - Step 4: Simplify right side
20,442x = 1,063,216,449 - Step 5: Solve for x
x = 1,063,216,449/20,442 - Step 6: Final answer
x = 52,011.37
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Why These Related Problems?
These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.