Finding the Third Proportional to 49,023 and 58,743
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Solution
The third proportional to 49,023 and 58,743 is: 70,390.23
Step by Step Solution
- Step 1: Write the proportion equation
49,023 : 58,743 = 58,743 : x - Step 2: Convert to fraction form
49,023/58,743 = 58,743/x - Step 3: Cross multiply
49,023x = 58,743 × 58,743 - Step 4: Simplify right side
49,023x = 3,450,740,049 - Step 5: Solve for x
x = 3,450,740,049/49,023 - Step 6: Final answer
x = 70,390.23
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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.