Finding the Third Proportional to 10,517.63 and 22,397.63
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Solution
The third proportional to 10,517.63 and 22,397.63 is: 47,696.47
Step by Step Solution
- Step 1: Write the proportion equation
10,517.63 : 22,397.63 = 22,397.63 : x - Step 2: Convert to fraction form
10,517.63/22,397.63 = 22,397.63/x - Step 3: Cross multiply
10,517.63x = 22,397.63 × 22,397.63 - Step 4: Simplify right side
10,517.63x = 501,653,605.64 - Step 5: Solve for x
x = 501,653,605.64/10,517.63 - Step 6: Final answer
x = 47,696.47
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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.