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Finding the Third Proportional to 24,611 and 54,145

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Solution

The third proportional to 24,611 and 54,145 is: 119,120.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,611 : 54,145 = 54,145 : x
  2. Step 2: Convert to fraction form
    24,611/54,145 = 54,145/x
  3. Step 3: Cross multiply
    24,611x = 54,145 × 54,145
  4. Step 4: Simplify right side
    24,611x = 2,931,681,025
  5. Step 5: Solve for x
    x = 2,931,681,025/24,611
  6. Step 6: Final answer
    x = 119,120.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.