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Finding the Third Proportional to 22,378.78 and 33,496.03

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Solution

The third proportional to 22,378.78 and 33,496.03 is: 50,136.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,378.78 : 33,496.03 = 33,496.03 : x
  2. Step 2: Convert to fraction form
    22,378.78/33,496.03 = 33,496.03/x
  3. Step 3: Cross multiply
    22,378.78x = 33,496.03 × 33,496.03
  4. Step 4: Simplify right side
    22,378.78x = 1,121,984,109.50
  5. Step 5: Solve for x
    x = 1,121,984,109.50/22,378.78
  6. Step 6: Final answer
    x = 50,136.07

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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.