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Finding the Third Proportional to 33,784 and 52,005

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Solution

The third proportional to 33,784 and 52,005 is: 80,053.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,784 : 52,005 = 52,005 : x
  2. Step 2: Convert to fraction form
    33,784/52,005 = 52,005/x
  3. Step 3: Cross multiply
    33,784x = 52,005 × 52,005
  4. Step 4: Simplify right side
    33,784x = 2,704,520,025
  5. Step 5: Solve for x
    x = 2,704,520,025/33,784
  6. Step 6: Final answer
    x = 80,053.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.