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Finding the Third Proportional to 16,533.84 and 24,949.83

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Solution

The third proportional to 16,533.84 and 24,949.83 is: 37,649.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,533.84 : 24,949.83 = 24,949.83 : x
  2. Step 2: Convert to fraction form
    16,533.84/24,949.83 = 24,949.83/x
  3. Step 3: Cross multiply
    16,533.84x = 24,949.83 × 24,949.83
  4. Step 4: Simplify right side
    16,533.84x = 622,493,923.47
  5. Step 5: Solve for x
    x = 622,493,923.47/16,533.84
  6. Step 6: Final answer
    x = 37,649.68

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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.