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Finding the Third Proportional to 11,874 and 25,337

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Solution

The third proportional to 11,874 and 25,337 is: 54,064.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,874 : 25,337 = 25,337 : x
  2. Step 2: Convert to fraction form
    11,874/25,337 = 25,337/x
  3. Step 3: Cross multiply
    11,874x = 25,337 × 25,337
  4. Step 4: Simplify right side
    11,874x = 641,963,569
  5. Step 5: Solve for x
    x = 641,963,569/11,874
  6. Step 6: Final answer
    x = 54,064.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.