Finding the Third Proportional to 6,314.63 and 13,397.63
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Solution
The third proportional to 6,314.63 and 13,397.63 is: 28,425.50
Step by Step Solution
- Step 1: Write the proportion equation
6,314.63 : 13,397.63 = 13,397.63 : x - Step 2: Convert to fraction form
6,314.63/13,397.63 = 13,397.63/x - Step 3: Cross multiply
6,314.63x = 13,397.63 × 13,397.63 - Step 4: Simplify right side
6,314.63x = 179,496,355.64 - Step 5: Solve for x
x = 179,496,355.64/6,314.63 - Step 6: Final answer
x = 28,425.50
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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.