Finding the Third Proportional to 6,296.25 and 14,705.63
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Solution
The third proportional to 6,296.25 and 14,705.63 is: 34,346.70
Step by Step Solution
- Step 1: Write the proportion equation
6,296.25 : 14,705.63 = 14,705.63 : x - Step 2: Convert to fraction form
6,296.25/14,705.63 = 14,705.63/x - Step 3: Cross multiply
6,296.25x = 14,705.63 × 14,705.63 - Step 4: Simplify right side
6,296.25x = 216,255,406.64 - Step 5: Solve for x
x = 216,255,406.64/6,296.25 - Step 6: Final answer
x = 34,346.70
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Why These Related Problems?
These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.