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Finding the Third Proportional to 25,982 and 33,775

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Solution

The third proportional to 25,982 and 33,775 is: 43,905.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,982 : 33,775 = 33,775 : x
  2. Step 2: Convert to fraction form
    25,982/33,775 = 33,775/x
  3. Step 3: Cross multiply
    25,982x = 33,775 × 33,775
  4. Step 4: Simplify right side
    25,982x = 1,140,750,625
  5. Step 5: Solve for x
    x = 1,140,750,625/25,982
  6. Step 6: Final answer
    x = 43,905.42

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.