Finding the Third Proportional to 6,545 and 14,014
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Solution
The third proportional to 6,545 and 14,014 is: 30,006.45
Step by Step Solution
- Step 1: Write the proportion equation
6,545 : 14,014 = 14,014 : x - Step 2: Convert to fraction form
6,545/14,014 = 14,014/x - Step 3: Cross multiply
6,545x = 14,014 × 14,014 - Step 4: Simplify right side
6,545x = 196,392,196 - Step 5: Solve for x
x = 196,392,196/6,545 - Step 6: Final answer
x = 30,006.45
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.