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Finding the Third Proportional to 25,982 and 55,825

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Solution

The third proportional to 25,982 and 55,825 is: 119,945.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,982 : 55,825 = 55,825 : x
  2. Step 2: Convert to fraction form
    25,982/55,825 = 55,825/x
  3. Step 3: Cross multiply
    25,982x = 55,825 × 55,825
  4. Step 4: Simplify right side
    25,982x = 3,116,430,625
  5. Step 5: Solve for x
    x = 3,116,430,625/25,982
  6. Step 6: Final answer
    x = 119,945.76

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.