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Finding the Third Proportional to 33,861.38 and 52,401.94

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Solution

The third proportional to 33,861.38 and 52,401.94 is: 81,094.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,861.38 : 52,401.94 = 52,401.94 : x
  2. Step 2: Convert to fraction form
    33,861.38/52,401.94 = 52,401.94/x
  3. Step 3: Cross multiply
    33,861.38x = 52,401.94 × 52,401.94
  4. Step 4: Simplify right side
    33,861.38x = 2,745,963,053.75
  5. Step 5: Solve for x
    x = 2,745,963,053.75/33,861.38
  6. Step 6: Final answer
    x = 81,094.26

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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.