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Finding the Third Proportional to 20,596 and 26,790

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Solution

The third proportional to 20,596 and 26,790 is: 34,846.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,596 : 26,790 = 26,790 : x
  2. Step 2: Convert to fraction form
    20,596/26,790 = 26,790/x
  3. Step 3: Cross multiply
    20,596x = 26,790 × 26,790
  4. Step 4: Simplify right side
    20,596x = 717,704,100
  5. Step 5: Solve for x
    x = 717,704,100/20,596
  6. Step 6: Final answer
    x = 34,846.77

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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.