Finding the Third Proportional to 7,730.25 and 11,652.75
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Solution
The third proportional to 7,730.25 and 11,652.75 is: 17,565.61
Step by Step Solution
- Step 1: Write the proportion equation
7,730.25 : 11,652.75 = 11,652.75 : x - Step 2: Convert to fraction form
7,730.25/11,652.75 = 11,652.75/x - Step 3: Cross multiply
7,730.25x = 11,652.75 × 11,652.75 - Step 4: Simplify right side
7,730.25x = 135,786,582.56 - Step 5: Solve for x
x = 135,786,582.56/7,730.25 - Step 6: Final answer
x = 17,565.61
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.