Finding the Third Proportional to 20,604 and 31,002
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Solution
The third proportional to 20,604 and 31,002 is: 46,647.45
Step by Step Solution
- Step 1: Write the proportion equation
20,604 : 31,002 = 31,002 : x - Step 2: Convert to fraction form
20,604/31,002 = 31,002/x - Step 3: Cross multiply
20,604x = 31,002 × 31,002 - Step 4: Simplify right side
20,604x = 961,124,004 - Step 5: Solve for x
x = 961,124,004/20,604 - Step 6: Final answer
x = 46,647.45
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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.