Finding the Third Proportional to 14,433 and 31,513
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Solution
The third proportional to 14,433 and 31,513 is: 68,805.46
Step by Step Solution
- Step 1: Write the proportion equation
14,433 : 31,513 = 31,513 : x - Step 2: Convert to fraction form
14,433/31,513 = 31,513/x - Step 3: Cross multiply
14,433x = 31,513 × 31,513 - Step 4: Simplify right side
14,433x = 993,069,169 - Step 5: Solve for x
x = 993,069,169/14,433 - Step 6: Final answer
x = 68,805.46
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.