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Finding the Third Proportional to 33,829.38 and 47,295.49

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Solution

The third proportional to 33,829.38 and 47,295.49 is: 66,121.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,829.38 : 47,295.49 = 47,295.49 : x
  2. Step 2: Convert to fraction form
    33,829.38/47,295.49 = 47,295.49/x
  3. Step 3: Cross multiply
    33,829.38x = 47,295.49 × 47,295.49
  4. Step 4: Simplify right side
    33,829.38x = 2,236,863,581.26
  5. Step 5: Solve for x
    x = 2,236,863,581.26/33,829.38
  6. Step 6: Final answer
    x = 66,121.92

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.