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Finding the Third Proportional to 33,435 and 74,251

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Solution

The third proportional to 33,435 and 74,251 is: 164,893.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,435 : 74,251 = 74,251 : x
  2. Step 2: Convert to fraction form
    33,435/74,251 = 74,251/x
  3. Step 3: Cross multiply
    33,435x = 74,251 × 74,251
  4. Step 4: Simplify right side
    33,435x = 5,513,211,001
  5. Step 5: Solve for x
    x = 5,513,211,001/33,435
  6. Step 6: Final answer
    x = 164,893.41

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.