Finding the Third Proportional to 9,708.75 and 22,299.75
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Solution
The third proportional to 9,708.75 and 22,299.75 is: 51,219.66
Step by Step Solution
- Step 1: Write the proportion equation
9,708.75 : 22,299.75 = 22,299.75 : x - Step 2: Convert to fraction form
9,708.75/22,299.75 = 22,299.75/x - Step 3: Cross multiply
9,708.75x = 22,299.75 × 22,299.75 - Step 4: Simplify right side
9,708.75x = 497,278,850.06 - Step 5: Solve for x
x = 497,278,850.06/9,708.75 - Step 6: Final answer
x = 51,219.66
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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.