Finding the Third Proportional to 16,213 and 22,237
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Solution
The third proportional to 16,213 and 22,237 is: 30,499.24
Step by Step Solution
- Step 1: Write the proportion equation
16,213 : 22,237 = 22,237 : x - Step 2: Convert to fraction form
16,213/22,237 = 22,237/x - Step 3: Cross multiply
16,213x = 22,237 × 22,237 - Step 4: Simplify right side
16,213x = 494,484,169 - Step 5: Solve for x
x = 494,484,169/16,213 - Step 6: Final answer
x = 30,499.24
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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.