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Finding the Third Proportional to 25,839 and 47,625.75

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Solution

The third proportional to 25,839 and 47,625.75 is: 87,782.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,839 : 47,625.75 = 47,625.75 : x
  2. Step 2: Convert to fraction form
    25,839/47,625.75 = 47,625.75/x
  3. Step 3: Cross multiply
    25,839x = 47,625.75 × 47,625.75
  4. Step 4: Simplify right side
    25,839x = 2,268,212,063.06
  5. Step 5: Solve for x
    x = 2,268,212,063.06/25,839
  6. Step 6: Final answer
    x = 87,782.50

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.