Finding the Third Proportional to 14,216 and 31,020
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Solution
The third proportional to 14,216 and 31,020 is: 67,687.14
Step by Step Solution
- Step 1: Write the proportion equation
14,216 : 31,020 = 31,020 : x - Step 2: Convert to fraction form
14,216/31,020 = 31,020/x - Step 3: Cross multiply
14,216x = 31,020 × 31,020 - Step 4: Simplify right side
14,216x = 962,240,400 - Step 5: Solve for x
x = 962,240,400/14,216 - Step 6: Final answer
x = 67,687.14
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.