Finding the Third Proportional to 6,292 and 13,000
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Solution
The third proportional to 6,292 and 13,000 is: 26,859.50
Step by Step Solution
- Step 1: Write the proportion equation
6,292 : 13,000 = 13,000 : x - Step 2: Convert to fraction form
6,292/13,000 = 13,000/x - Step 3: Cross multiply
6,292x = 13,000 × 13,000 - Step 4: Simplify right side
6,292x = 169,000,000 - Step 5: Solve for x
x = 169,000,000/6,292 - Step 6: Final answer
x = 26,859.50
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.