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Finding the Third Proportional to 24,413 and 49,504

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Solution

The third proportional to 24,413 and 49,504 is: 100,382.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,413 : 49,504 = 49,504 : x
  2. Step 2: Convert to fraction form
    24,413/49,504 = 49,504/x
  3. Step 3: Cross multiply
    24,413x = 49,504 × 49,504
  4. Step 4: Simplify right side
    24,413x = 2,450,646,016
  5. Step 5: Solve for x
    x = 2,450,646,016/24,413
  6. Step 6: Final answer
    x = 100,382.83

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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.