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Finding the Third Proportional to 16,201.69 and 24,529.22

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Solution

The third proportional to 16,201.69 and 24,529.22 is: 37,137.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,201.69 : 24,529.22 = 24,529.22 : x
  2. Step 2: Convert to fraction form
    16,201.69/24,529.22 = 24,529.22/x
  3. Step 3: Cross multiply
    16,201.69x = 24,529.22 × 24,529.22
  4. Step 4: Simplify right side
    16,201.69x = 601,682,572.49
  5. Step 5: Solve for x
    x = 601,682,572.49/16,201.69
  6. Step 6: Final answer
    x = 37,137.03

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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.