Finding the Third Proportional to 7,674.75 and 13,830.75
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Solution
The third proportional to 7,674.75 and 13,830.75 is: 24,924.54
Step by Step Solution
- Step 1: Write the proportion equation
7,674.75 : 13,830.75 = 13,830.75 : x - Step 2: Convert to fraction form
7,674.75/13,830.75 = 13,830.75/x - Step 3: Cross multiply
7,674.75x = 13,830.75 × 13,830.75 - Step 4: Simplify right side
7,674.75x = 191,289,645.56 - Step 5: Solve for x
x = 191,289,645.56/7,674.75 - Step 6: Final answer
x = 24,924.54
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These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.