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Finding the Third Proportional to 33,857.94 and 52,498.75

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Solution

The third proportional to 33,857.94 and 52,498.75 is: 81,402.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,857.94 : 52,498.75 = 52,498.75 : x
  2. Step 2: Convert to fraction form
    33,857.94/52,498.75 = 52,498.75/x
  3. Step 3: Cross multiply
    33,857.94x = 52,498.75 × 52,498.75
  4. Step 4: Simplify right side
    33,857.94x = 2,756,118,751.56
  5. Step 5: Solve for x
    x = 2,756,118,751.56/33,857.94
  6. Step 6: Final answer
    x = 81,402.44

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.