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Finding the Third Proportional to 22,420 and 33,797

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Solution

The third proportional to 22,420 and 33,797 is: 50,947.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,420 : 33,797 = 33,797 : x
  2. Step 2: Convert to fraction form
    22,420/33,797 = 33,797/x
  3. Step 3: Cross multiply
    22,420x = 33,797 × 33,797
  4. Step 4: Simplify right side
    22,420x = 1,142,237,209
  5. Step 5: Solve for x
    x = 1,142,237,209/22,420
  6. Step 6: Final answer
    x = 50,947.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.