Finding the Third Proportional to 7,746.75 and 16,323.75
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Solution
The third proportional to 7,746.75 and 16,323.75 is: 34,396.98
Step by Step Solution
- Step 1: Write the proportion equation
7,746.75 : 16,323.75 = 16,323.75 : x - Step 2: Convert to fraction form
7,746.75/16,323.75 = 16,323.75/x - Step 3: Cross multiply
7,746.75x = 16,323.75 × 16,323.75 - Step 4: Simplify right side
7,746.75x = 266,464,814.06 - Step 5: Solve for x
x = 266,464,814.06/7,746.75 - Step 6: Final answer
x = 34,396.98
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Why These Related Problems?
These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.