Finding the Third Proportional to 2,562.75 and 6,153.75
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Solution
The third proportional to 2,562.75 and 6,153.75 is: 14,776.56
Step by Step Solution
- Step 1: Write the proportion equation
2,562.75 : 6,153.75 = 6,153.75 : x - Step 2: Convert to fraction form
2,562.75/6,153.75 = 6,153.75/x - Step 3: Cross multiply
2,562.75x = 6,153.75 × 6,153.75 - Step 4: Simplify right side
2,562.75x = 37,868,639.06 - Step 5: Solve for x
x = 37,868,639.06/2,562.75 - Step 6: Final answer
x = 14,776.56
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These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.