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Finding the Third Proportional to 33,926.50 and 39,434.50

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Solution

The third proportional to 33,926.50 and 39,434.50 is: 45,836.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,926.50 : 39,434.50 = 39,434.50 : x
  2. Step 2: Convert to fraction form
    33,926.50/39,434.50 = 39,434.50/x
  3. Step 3: Cross multiply
    33,926.50x = 39,434.50 × 39,434.50
  4. Step 4: Simplify right side
    33,926.50x = 1,555,079,790.25
  5. Step 5: Solve for x
    x = 1,555,079,790.25/33,926.50
  6. Step 6: Final answer
    x = 45,836.73

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These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.