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Finding the Third Proportional to 33,458 and 50,076

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Solution

The third proportional to 33,458 and 50,076 is: 74,947.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,458 : 50,076 = 50,076 : x
  2. Step 2: Convert to fraction form
    33,458/50,076 = 50,076/x
  3. Step 3: Cross multiply
    33,458x = 50,076 × 50,076
  4. Step 4: Simplify right side
    33,458x = 2,507,605,776
  5. Step 5: Solve for x
    x = 2,507,605,776/33,458
  6. Step 6: Final answer
    x = 74,947.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.