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Finding the Third Proportional to 33,104 and 47,760

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Solution

The third proportional to 33,104 and 47,760 is: 68,904.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,104 : 47,760 = 47,760 : x
  2. Step 2: Convert to fraction form
    33,104/47,760 = 47,760/x
  3. Step 3: Cross multiply
    33,104x = 47,760 × 47,760
  4. Step 4: Simplify right side
    33,104x = 2,281,017,600
  5. Step 5: Solve for x
    x = 2,281,017,600/33,104
  6. Step 6: Final answer
    x = 68,904.59

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.