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Finding the Third Proportional to 20,596 and 29,806

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Solution

The third proportional to 20,596 and 29,806 is: 43,134.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,596 : 29,806 = 29,806 : x
  2. Step 2: Convert to fraction form
    20,596/29,806 = 29,806/x
  3. Step 3: Cross multiply
    20,596x = 29,806 × 29,806
  4. Step 4: Simplify right side
    20,596x = 888,397,636
  5. Step 5: Solve for x
    x = 888,397,636/20,596
  6. Step 6: Final answer
    x = 43,134.47

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.