Finding the Third Proportional to 12,962.58 and 27,702.09
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Solution
The third proportional to 12,962.58 and 27,702.09 is: 59,201.65
Step by Step Solution
- Step 1: Write the proportion equation
12,962.58 : 27,702.09 = 27,702.09 : x - Step 2: Convert to fraction form
12,962.58/27,702.09 = 27,702.09/x - Step 3: Cross multiply
12,962.58x = 27,702.09 × 27,702.09 - Step 4: Simplify right side
12,962.58x = 767,405,998.13 - Step 5: Solve for x
x = 767,405,998.13/12,962.58 - Step 6: Final answer
x = 59,201.65
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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.