Finding the Third Proportional to 20,264 and 29,696
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Solution
The third proportional to 20,264 and 29,696 is: 43,518.18
Step by Step Solution
- Step 1: Write the proportion equation
20,264 : 29,696 = 29,696 : x - Step 2: Convert to fraction form
20,264/29,696 = 29,696/x - Step 3: Cross multiply
20,264x = 29,696 × 29,696 - Step 4: Simplify right side
20,264x = 881,852,416 - Step 5: Solve for x
x = 881,852,416/20,264 - Step 6: Final answer
x = 43,518.18
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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.