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Finding the Third Proportional to 33,814.13 and 52,563.38

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Solution

The third proportional to 33,814.13 and 52,563.38 is: 81,708.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,814.13 : 52,563.38 = 52,563.38 : x
  2. Step 2: Convert to fraction form
    33,814.13/52,563.38 = 52,563.38/x
  3. Step 3: Cross multiply
    33,814.13x = 52,563.38 × 52,563.38
  4. Step 4: Simplify right side
    33,814.13x = 2,762,908,391.39
  5. Step 5: Solve for x
    x = 2,762,908,391.39/33,814.13
  6. Step 6: Final answer
    x = 81,708.71

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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.