Finding the Third Proportional to 5,305.75 and 8,073.75
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Solution
The third proportional to 5,305.75 and 8,073.75 is: 12,285.81
Step by Step Solution
- Step 1: Write the proportion equation
5,305.75 : 8,073.75 = 8,073.75 : x - Step 2: Convert to fraction form
5,305.75/8,073.75 = 8,073.75/x - Step 3: Cross multiply
5,305.75x = 8,073.75 × 8,073.75 - Step 4: Simplify right side
5,305.75x = 65,185,439.06 - Step 5: Solve for x
x = 65,185,439.06/5,305.75 - Step 6: Final answer
x = 12,285.81
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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.