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Finding the Third Proportional to 33,864.94 and 52,736.34

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Solution

The third proportional to 33,864.94 and 52,736.34 is: 82,123.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,864.94 : 52,736.34 = 52,736.34 : x
  2. Step 2: Convert to fraction form
    33,864.94/52,736.34 = 52,736.34/x
  3. Step 3: Cross multiply
    33,864.94x = 52,736.34 × 52,736.34
  4. Step 4: Simplify right side
    33,864.94x = 2,781,121,952.12
  5. Step 5: Solve for x
    x = 2,781,121,952.12/33,864.94
  6. Step 6: Final answer
    x = 82,123.94

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.