Finding the Third Proportional to 20,614 and 31,017
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Solution
The third proportional to 20,614 and 31,017 is: 46,669.95
Step by Step Solution
- Step 1: Write the proportion equation
20,614 : 31,017 = 31,017 : x - Step 2: Convert to fraction form
20,614/31,017 = 31,017/x - Step 3: Cross multiply
20,614x = 31,017 × 31,017 - Step 4: Simplify right side
20,614x = 962,054,289 - Step 5: Solve for x
x = 962,054,289/20,614 - Step 6: Final answer
x = 46,669.95
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.