Finding the Third Proportional to 22,776 and 30,645
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Solution
The third proportional to 22,776 and 30,645 is: 41,232.70
Step by Step Solution
- Step 1: Write the proportion equation
22,776 : 30,645 = 30,645 : x - Step 2: Convert to fraction form
22,776/30,645 = 30,645/x - Step 3: Cross multiply
22,776x = 30,645 × 30,645 - Step 4: Simplify right side
22,776x = 939,116,025 - Step 5: Solve for x
x = 939,116,025/22,776 - Step 6: Final answer
x = 41,232.70
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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.