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Finding the Third Proportional to 24,829 and 50,378

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Solution

The third proportional to 24,829 and 50,378 is: 102,216.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,829 : 50,378 = 50,378 : x
  2. Step 2: Convert to fraction form
    24,829/50,378 = 50,378/x
  3. Step 3: Cross multiply
    24,829x = 50,378 × 50,378
  4. Step 4: Simplify right side
    24,829x = 2,537,942,884
  5. Step 5: Solve for x
    x = 2,537,942,884/24,829
  6. Step 6: Final answer
    x = 102,216.88

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.