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Finding the Third Proportional to 20,864 and 26,436

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Solution

The third proportional to 20,864 and 26,436 is: 33,496.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,864 : 26,436 = 26,436 : x
  2. Step 2: Convert to fraction form
    20,864/26,436 = 26,436/x
  3. Step 3: Cross multiply
    20,864x = 26,436 × 26,436
  4. Step 4: Simplify right side
    20,864x = 698,862,096
  5. Step 5: Solve for x
    x = 698,862,096/20,864
  6. Step 6: Final answer
    x = 33,496.07

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.