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Finding the Third Proportional to 33,004 and 50,691

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Solution

The third proportional to 33,004 and 50,691 is: 77,856.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,004 : 50,691 = 50,691 : x
  2. Step 2: Convert to fraction form
    33,004/50,691 = 50,691/x
  3. Step 3: Cross multiply
    33,004x = 50,691 × 50,691
  4. Step 4: Simplify right side
    33,004x = 2,569,577,481
  5. Step 5: Solve for x
    x = 2,569,577,481/33,004
  6. Step 6: Final answer
    x = 77,856.55

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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.