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Finding the Third Proportional to 12,103 and 24,691

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Solution

The third proportional to 12,103 and 24,691 is: 50,371.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,103 : 24,691 = 24,691 : x
  2. Step 2: Convert to fraction form
    12,103/24,691 = 24,691/x
  3. Step 3: Cross multiply
    12,103x = 24,691 × 24,691
  4. Step 4: Simplify right side
    12,103x = 609,645,481
  5. Step 5: Solve for x
    x = 609,645,481/12,103
  6. Step 6: Final answer
    x = 50,371.44

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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.