Finding the Third Proportional to 12,820 and 14,060
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Solution
The third proportional to 12,820 and 14,060 is: 15,419.94
Step by Step Solution
- Step 1: Write the proportion equation
12,820 : 14,060 = 14,060 : x - Step 2: Convert to fraction form
12,820/14,060 = 14,060/x - Step 3: Cross multiply
12,820x = 14,060 × 14,060 - Step 4: Simplify right side
12,820x = 197,683,600 - Step 5: Solve for x
x = 197,683,600/12,820 - Step 6: Final answer
x = 15,419.94
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.