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Finding the Third Proportional to 22,550 and 33,695

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Solution

The third proportional to 22,550 and 33,695 is: 50,348.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,550 : 33,695 = 33,695 : x
  2. Step 2: Convert to fraction form
    22,550/33,695 = 33,695/x
  3. Step 3: Cross multiply
    22,550x = 33,695 × 33,695
  4. Step 4: Simplify right side
    22,550x = 1,135,353,025
  5. Step 5: Solve for x
    x = 1,135,353,025/22,550
  6. Step 6: Final answer
    x = 50,348.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.