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Finding the Third Proportional to 12,044 and 24,568

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Solution

The third proportional to 12,044 and 24,568 is: 50,115.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,044 : 24,568 = 24,568 : x
  2. Step 2: Convert to fraction form
    12,044/24,568 = 24,568/x
  3. Step 3: Cross multiply
    12,044x = 24,568 × 24,568
  4. Step 4: Simplify right side
    12,044x = 603,586,624
  5. Step 5: Solve for x
    x = 603,586,624/12,044
  6. Step 6: Final answer
    x = 50,115.13

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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.