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Finding the Third Proportional to 33,378 and 73,014

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Solution

The third proportional to 33,378 and 73,014 is: 159,717.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,378 : 73,014 = 73,014 : x
  2. Step 2: Convert to fraction form
    33,378/73,014 = 73,014/x
  3. Step 3: Cross multiply
    33,378x = 73,014 × 73,014
  4. Step 4: Simplify right side
    33,378x = 5,331,044,196
  5. Step 5: Solve for x
    x = 5,331,044,196/33,378
  6. Step 6: Final answer
    x = 159,717.30

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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.