Finding the Third Proportional to 1,562 and 2,364
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Solution
The third proportional to 1,562 and 2,364 is: 3,577.78
Step by Step Solution
- Step 1: Write the proportion equation
1,562 : 2,364 = 2,364 : x - Step 2: Convert to fraction form
1,562/2,364 = 2,364/x - Step 3: Cross multiply
1,562x = 2,364 × 2,364 - Step 4: Simplify right side
1,562x = 5,588,496 - Step 5: Solve for x
x = 5,588,496/1,562 - Step 6: Final answer
x = 3,577.78
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.