Finding the Third Proportional to 22,846 and 31,124
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Solution
The third proportional to 22,846 and 31,124 is: 42,401.44
Step by Step Solution
- Step 1: Write the proportion equation
22,846 : 31,124 = 31,124 : x - Step 2: Convert to fraction form
22,846/31,124 = 31,124/x - Step 3: Cross multiply
22,846x = 31,124 × 31,124 - Step 4: Simplify right side
22,846x = 968,703,376 - Step 5: Solve for x
x = 968,703,376/22,846 - Step 6: Final answer
x = 42,401.44
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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.