Finding the Third Proportional to 22,063.50 and 31,023
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Solution
The third proportional to 22,063.50 and 31,023 is: 43,620.76
Step by Step Solution
- Step 1: Write the proportion equation
22,063.50 : 31,023 = 31,023 : x - Step 2: Convert to fraction form
22,063.50/31,023 = 31,023/x - Step 3: Cross multiply
22,063.50x = 31,023 × 31,023 - Step 4: Simplify right side
22,063.50x = 962,426,529 - Step 5: Solve for x
x = 962,426,529/22,063.50 - Step 6: Final answer
x = 43,620.76
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Why These Related Problems?
These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.