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Finding the Third Proportional to 25,462 and 55,939

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Solution

The third proportional to 25,462 and 55,939 is: 122,895.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,462 : 55,939 = 55,939 : x
  2. Step 2: Convert to fraction form
    25,462/55,939 = 55,939/x
  3. Step 3: Cross multiply
    25,462x = 55,939 × 55,939
  4. Step 4: Simplify right side
    25,462x = 3,129,171,721
  5. Step 5: Solve for x
    x = 3,129,171,721/25,462
  6. Step 6: Final answer
    x = 122,895.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.