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Finding the Third Proportional to 33,236.26 and 47,778.29

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Solution

The third proportional to 33,236.26 and 47,778.29 is: 68,682.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,236.26 : 47,778.29 = 47,778.29 : x
  2. Step 2: Convert to fraction form
    33,236.26/47,778.29 = 47,778.29/x
  3. Step 3: Cross multiply
    33,236.26x = 47,778.29 × 47,778.29
  4. Step 4: Simplify right side
    33,236.26x = 2,282,765,279.01
  5. Step 5: Solve for x
    x = 2,282,765,279.01/33,236.26
  6. Step 6: Final answer
    x = 68,682.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.