Finding the Third Proportional to 10,278 and 14,852
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Solution
The third proportional to 10,278 and 14,852 is: 21,461.56
Step by Step Solution
- Step 1: Write the proportion equation
10,278 : 14,852 = 14,852 : x - Step 2: Convert to fraction form
10,278/14,852 = 14,852/x - Step 3: Cross multiply
10,278x = 14,852 × 14,852 - Step 4: Simplify right side
10,278x = 220,581,904 - Step 5: Solve for x
x = 220,581,904/10,278 - Step 6: Final answer
x = 21,461.56
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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.