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Finding the Third Proportional to 33,074 and 48,972

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Solution

The third proportional to 33,074 and 48,972 is: 72,511.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,074 : 48,972 = 48,972 : x
  2. Step 2: Convert to fraction form
    33,074/48,972 = 48,972/x
  3. Step 3: Cross multiply
    33,074x = 48,972 × 48,972
  4. Step 4: Simplify right side
    33,074x = 2,398,256,784
  5. Step 5: Solve for x
    x = 2,398,256,784/33,074
  6. Step 6: Final answer
    x = 72,511.85

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.