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Finding the Third Proportional to 25,539 and 54,968

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Solution

The third proportional to 25,539 and 54,968 is: 118,308.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,539 : 54,968 = 54,968 : x
  2. Step 2: Convert to fraction form
    25,539/54,968 = 54,968/x
  3. Step 3: Cross multiply
    25,539x = 54,968 × 54,968
  4. Step 4: Simplify right side
    25,539x = 3,021,481,024
  5. Step 5: Solve for x
    x = 3,021,481,024/25,539
  6. Step 6: Final answer
    x = 118,308.51

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Why These Related Problems?

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