Finding the Third Proportional to 10,534 and 22,658
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Solution
The third proportional to 10,534 and 22,658 is: 48,735.99
Step by Step Solution
- Step 1: Write the proportion equation
10,534 : 22,658 = 22,658 : x - Step 2: Convert to fraction form
10,534/22,658 = 22,658/x - Step 3: Cross multiply
10,534x = 22,658 × 22,658 - Step 4: Simplify right side
10,534x = 513,384,964 - Step 5: Solve for x
x = 513,384,964/10,534 - Step 6: Final answer
x = 48,735.99
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.