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Finding the Third Proportional to 20,363 and 26,839

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Solution

The third proportional to 20,363 and 26,839 is: 35,374.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,363 : 26,839 = 26,839 : x
  2. Step 2: Convert to fraction form
    20,363/26,839 = 26,839/x
  3. Step 3: Cross multiply
    20,363x = 26,839 × 26,839
  4. Step 4: Simplify right side
    20,363x = 720,331,921
  5. Step 5: Solve for x
    x = 720,331,921/20,363
  6. Step 6: Final answer
    x = 35,374.55

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.