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Finding the Third Proportional to 11,907 and 25,865

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Solution

The third proportional to 11,907 and 25,865 is: 56,185.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,907 : 25,865 = 25,865 : x
  2. Step 2: Convert to fraction form
    11,907/25,865 = 25,865/x
  3. Step 3: Cross multiply
    11,907x = 25,865 × 25,865
  4. Step 4: Simplify right side
    11,907x = 668,998,225
  5. Step 5: Solve for x
    x = 668,998,225/11,907
  6. Step 6: Final answer
    x = 56,185.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.