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Finding the Third Proportional to 33,960 and 74,400

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Solution

The third proportional to 33,960 and 74,400 is: 162,996.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,960 : 74,400 = 74,400 : x
  2. Step 2: Convert to fraction form
    33,960/74,400 = 74,400/x
  3. Step 3: Cross multiply
    33,960x = 74,400 × 74,400
  4. Step 4: Simplify right side
    33,960x = 5,535,360,000
  5. Step 5: Solve for x
    x = 5,535,360,000/33,960
  6. Step 6: Final answer
    x = 162,996.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.