Finding the Third Proportional to 7,745.63 and 15,774.75
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Solution
The third proportional to 7,745.63 and 15,774.75 is: 32,126.88
Step by Step Solution
- Step 1: Write the proportion equation
7,745.63 : 15,774.75 = 15,774.75 : x - Step 2: Convert to fraction form
7,745.63/15,774.75 = 15,774.75/x - Step 3: Cross multiply
7,745.63x = 15,774.75 × 15,774.75 - Step 4: Simplify right side
7,745.63x = 248,842,737.56 - Step 5: Solve for x
x = 248,842,737.56/7,745.63 - Step 6: Final answer
x = 32,126.88
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Why These Related Problems?
These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.