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Finding the Third Proportional to 33,999.19 and 47,794.22

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Solution

The third proportional to 33,999.19 and 47,794.22 is: 67,186.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,999.19 : 47,794.22 = 47,794.22 : x
  2. Step 2: Convert to fraction form
    33,999.19/47,794.22 = 47,794.22/x
  3. Step 3: Cross multiply
    33,999.19x = 47,794.22 × 47,794.22
  4. Step 4: Simplify right side
    33,999.19x = 2,284,287,345.92
  5. Step 5: Solve for x
    x = 2,284,287,345.92/33,999.19
  6. Step 6: Final answer
    x = 67,186.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.