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Finding the Third Proportional to 19,704 and 26,836

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Solution

The third proportional to 19,704 and 26,836 is: 36,549.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,704 : 26,836 = 26,836 : x
  2. Step 2: Convert to fraction form
    19,704/26,836 = 26,836/x
  3. Step 3: Cross multiply
    19,704x = 26,836 × 26,836
  4. Step 4: Simplify right side
    19,704x = 720,170,896
  5. Step 5: Solve for x
    x = 720,170,896/19,704
  6. Step 6: Final answer
    x = 36,549.48

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.