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Finding the Third Proportional to 20,026 and 26,872

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Solution

The third proportional to 20,026 and 26,872 is: 36,058.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,026 : 26,872 = 26,872 : x
  2. Step 2: Convert to fraction form
    20,026/26,872 = 26,872/x
  3. Step 3: Cross multiply
    20,026x = 26,872 × 26,872
  4. Step 4: Simplify right side
    20,026x = 722,104,384
  5. Step 5: Solve for x
    x = 722,104,384/20,026
  6. Step 6: Final answer
    x = 36,058.34

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.