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Finding the Third Proportional to 11,877 and 25,656

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Solution

The third proportional to 11,877 and 25,656 is: 55,420.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,877 : 25,656 = 25,656 : x
  2. Step 2: Convert to fraction form
    11,877/25,656 = 25,656/x
  3. Step 3: Cross multiply
    11,877x = 25,656 × 25,656
  4. Step 4: Simplify right side
    11,877x = 658,230,336
  5. Step 5: Solve for x
    x = 658,230,336/11,877
  6. Step 6: Final answer
    x = 55,420.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.