Finding the Third Proportional to 6,565.50 and 14,226.75
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Solution
The third proportional to 6,565.50 and 14,226.75 is: 30,827.88
Step by Step Solution
- Step 1: Write the proportion equation
6,565.50 : 14,226.75 = 14,226.75 : x - Step 2: Convert to fraction form
6,565.50/14,226.75 = 14,226.75/x - Step 3: Cross multiply
6,565.50x = 14,226.75 × 14,226.75 - Step 4: Simplify right side
6,565.50x = 202,400,415.56 - Step 5: Solve for x
x = 202,400,415.56/6,565.50 - Step 6: Final answer
x = 30,827.88
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.