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Finding the Third Proportional to 24,760.69 and 50,599.69

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Solution

The third proportional to 24,760.69 and 50,599.69 is: 103,402.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,760.69 : 50,599.69 = 50,599.69 : x
  2. Step 2: Convert to fraction form
    24,760.69/50,599.69 = 50,599.69/x
  3. Step 3: Cross multiply
    24,760.69x = 50,599.69 × 50,599.69
  4. Step 4: Simplify right side
    24,760.69x = 2,560,328,375.10
  5. Step 5: Solve for x
    x = 2,560,328,375.10/24,760.69
  6. Step 6: Final answer
    x = 103,402.96

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.