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Finding the Third Proportional to 11,973 and 24,287

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Solution

The third proportional to 11,973 and 24,287 is: 49,265.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,973 : 24,287 = 24,287 : x
  2. Step 2: Convert to fraction form
    11,973/24,287 = 24,287/x
  3. Step 3: Cross multiply
    11,973x = 24,287 × 24,287
  4. Step 4: Simplify right side
    11,973x = 589,858,369
  5. Step 5: Solve for x
    x = 589,858,369/11,973
  6. Step 6: Final answer
    x = 49,265.71

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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.