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Finding the Third Proportional to 20,026 and 25,987

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Solution

The third proportional to 20,026 and 25,987 is: 33,722.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,026 : 25,987 = 25,987 : x
  2. Step 2: Convert to fraction form
    20,026/25,987 = 25,987/x
  3. Step 3: Cross multiply
    20,026x = 25,987 × 25,987
  4. Step 4: Simplify right side
    20,026x = 675,324,169
  5. Step 5: Solve for x
    x = 675,324,169/20,026
  6. Step 6: Final answer
    x = 33,722.37

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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.