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Finding the Third Proportional to 18,022.50 and 26,937.56

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Solution

The third proportional to 18,022.50 and 26,937.56 is: 40,262.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,022.50 : 26,937.56 = 26,937.56 : x
  2. Step 2: Convert to fraction form
    18,022.50/26,937.56 = 26,937.56/x
  3. Step 3: Cross multiply
    18,022.50x = 26,937.56 × 26,937.56
  4. Step 4: Simplify right side
    18,022.50x = 725,632,273.44
  5. Step 5: Solve for x
    x = 725,632,273.44/18,022.50
  6. Step 6: Final answer
    x = 40,262.58

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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.