Finding the Third Proportional to 19,767 and 31,290
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Solution
The third proportional to 19,767 and 31,290 is: 49,530.23
Step by Step Solution
- Step 1: Write the proportion equation
19,767 : 31,290 = 31,290 : x - Step 2: Convert to fraction form
19,767/31,290 = 31,290/x - Step 3: Cross multiply
19,767x = 31,290 × 31,290 - Step 4: Simplify right side
19,767x = 979,064,100 - Step 5: Solve for x
x = 979,064,100/19,767 - Step 6: Final answer
x = 49,530.23
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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.