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Finding the Third Proportional to 25,899 and 54,390

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Solution

The third proportional to 25,899 and 54,390 is: 114,223.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,899 : 54,390 = 54,390 : x
  2. Step 2: Convert to fraction form
    25,899/54,390 = 54,390/x
  3. Step 3: Cross multiply
    25,899x = 54,390 × 54,390
  4. Step 4: Simplify right side
    25,899x = 2,958,272,100
  5. Step 5: Solve for x
    x = 2,958,272,100/25,899
  6. Step 6: Final answer
    x = 114,223.41

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.