Finding the Third Proportional to 13,772 and 31,028
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Solution
The third proportional to 13,772 and 31,028 is: 69,905.37
Step by Step Solution
- Step 1: Write the proportion equation
13,772 : 31,028 = 31,028 : x - Step 2: Convert to fraction form
13,772/31,028 = 31,028/x - Step 3: Cross multiply
13,772x = 31,028 × 31,028 - Step 4: Simplify right side
13,772x = 962,736,784 - Step 5: Solve for x
x = 962,736,784/13,772 - Step 6: Final answer
x = 69,905.37
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Why These Related Problems?
These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.