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Finding the Third Proportional to 33,814 and 74,542

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Solution

The third proportional to 33,814 and 74,542 is: 164,325.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,814 : 74,542 = 74,542 : x
  2. Step 2: Convert to fraction form
    33,814/74,542 = 74,542/x
  3. Step 3: Cross multiply
    33,814x = 74,542 × 74,542
  4. Step 4: Simplify right side
    33,814x = 5,556,509,764
  5. Step 5: Solve for x
    x = 5,556,509,764/33,814
  6. Step 6: Final answer
    x = 164,325.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.