Finding the Third Proportional to 14,424 and 19,788
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Solution
The third proportional to 14,424 and 19,788 is: 27,146.77
Step by Step Solution
- Step 1: Write the proportion equation
14,424 : 19,788 = 19,788 : x - Step 2: Convert to fraction form
14,424/19,788 = 19,788/x - Step 3: Cross multiply
14,424x = 19,788 × 19,788 - Step 4: Simplify right side
14,424x = 391,564,944 - Step 5: Solve for x
x = 391,564,944/14,424 - Step 6: Final answer
x = 27,146.77
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Why These Related Problems?
These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.