Finding the Third Proportional to 21,177 and 30,970
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Solution
The third proportional to 21,177 and 30,970 is: 45,291.63
Step by Step Solution
- Step 1: Write the proportion equation
21,177 : 30,970 = 30,970 : x - Step 2: Convert to fraction form
21,177/30,970 = 30,970/x - Step 3: Cross multiply
21,177x = 30,970 × 30,970 - Step 4: Simplify right side
21,177x = 959,140,900 - Step 5: Solve for x
x = 959,140,900/21,177 - Step 6: Final answer
x = 45,291.63
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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.