Finding the Third Proportional to 5,977.13 and 12,767.63
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Solution
The third proportional to 5,977.13 and 12,767.63 is: 27,272.69
Step by Step Solution
- Step 1: Write the proportion equation
5,977.13 : 12,767.63 = 12,767.63 : x - Step 2: Convert to fraction form
5,977.13/12,767.63 = 12,767.63/x - Step 3: Cross multiply
5,977.13x = 12,767.63 × 12,767.63 - Step 4: Simplify right side
5,977.13x = 163,012,248.14 - Step 5: Solve for x
x = 163,012,248.14/5,977.13 - Step 6: Final answer
x = 27,272.69
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.