Finding the Third Proportional to 14,154 and 19,784
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Solution
The third proportional to 14,154 and 19,784 is: 27,653.43
Step by Step Solution
- Step 1: Write the proportion equation
14,154 : 19,784 = 19,784 : x - Step 2: Convert to fraction form
14,154/19,784 = 19,784/x - Step 3: Cross multiply
14,154x = 19,784 × 19,784 - Step 4: Simplify right side
14,154x = 391,406,656 - Step 5: Solve for x
x = 391,406,656/14,154 - Step 6: Final answer
x = 27,653.43
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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.