Finding the Third Proportional to 15,776 and 22,424
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Solution
The third proportional to 15,776 and 22,424 is: 31,873.46
Step by Step Solution
- Step 1: Write the proportion equation
15,776 : 22,424 = 22,424 : x - Step 2: Convert to fraction form
15,776/22,424 = 22,424/x - Step 3: Cross multiply
15,776x = 22,424 × 22,424 - Step 4: Simplify right side
15,776x = 502,835,776 - Step 5: Solve for x
x = 502,835,776/15,776 - Step 6: Final answer
x = 31,873.46
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Why These Related Problems?
These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.