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Finding the Third Proportional to 33,852.94 and 43,102.13

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Solution

The third proportional to 33,852.94 and 43,102.13 is: 54,878.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,852.94 : 43,102.13 = 43,102.13 : x
  2. Step 2: Convert to fraction form
    33,852.94/43,102.13 = 43,102.13/x
  3. Step 3: Cross multiply
    33,852.94x = 43,102.13 × 43,102.13
  4. Step 4: Simplify right side
    33,852.94x = 1,857,793,179.52
  5. Step 5: Solve for x
    x = 1,857,793,179.52/33,852.94
  6. Step 6: Final answer
    x = 54,878.34

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.