Finding the Third Proportional to 21,030 and 30,809
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Solution
The third proportional to 21,030 and 30,809 is: 45,135.26
Step by Step Solution
- Step 1: Write the proportion equation
21,030 : 30,809 = 30,809 : x - Step 2: Convert to fraction form
21,030/30,809 = 30,809/x - Step 3: Cross multiply
21,030x = 30,809 × 30,809 - Step 4: Simplify right side
21,030x = 949,194,481 - Step 5: Solve for x
x = 949,194,481/21,030 - Step 6: Final answer
x = 45,135.26
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Why These Related Problems?
These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.