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Finding the Third Proportional to 25,845 and 55,821

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Solution

The third proportional to 25,845 and 55,821 is: 120,564.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,845 : 55,821 = 55,821 : x
  2. Step 2: Convert to fraction form
    25,845/55,821 = 55,821/x
  3. Step 3: Cross multiply
    25,845x = 55,821 × 55,821
  4. Step 4: Simplify right side
    25,845x = 3,115,984,041
  5. Step 5: Solve for x
    x = 3,115,984,041/25,845
  6. Step 6: Final answer
    x = 120,564.29

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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.