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Finding the Third Proportional to 33,958 and 50,953

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Solution

The third proportional to 33,958 and 50,953 is: 76,453.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,958 : 50,953 = 50,953 : x
  2. Step 2: Convert to fraction form
    33,958/50,953 = 50,953/x
  3. Step 3: Cross multiply
    33,958x = 50,953 × 50,953
  4. Step 4: Simplify right side
    33,958x = 2,596,208,209
  5. Step 5: Solve for x
    x = 2,596,208,209/33,958
  6. Step 6: Final answer
    x = 76,453.51

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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.