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Finding the Third Proportional to 25,982 and 55,937

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Solution

The third proportional to 25,982 and 55,937 is: 120,427.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,982 : 55,937 = 55,937 : x
  2. Step 2: Convert to fraction form
    25,982/55,937 = 55,937/x
  3. Step 3: Cross multiply
    25,982x = 55,937 × 55,937
  4. Step 4: Simplify right side
    25,982x = 3,128,947,969
  5. Step 5: Solve for x
    x = 3,128,947,969/25,982
  6. Step 6: Final answer
    x = 120,427.53

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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.