Finding the Third Proportional to 9,116 and 14,281
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Solution
The third proportional to 9,116 and 14,281 is: 22,372.42
Step by Step Solution
- Step 1: Write the proportion equation
9,116 : 14,281 = 14,281 : x - Step 2: Convert to fraction form
9,116/14,281 = 14,281/x - Step 3: Cross multiply
9,116x = 14,281 × 14,281 - Step 4: Simplify right side
9,116x = 203,946,961 - Step 5: Solve for x
x = 203,946,961/9,116 - Step 6: Final answer
x = 22,372.42
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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.