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Finding the Third Proportional to 33,835.50 and 43,654.50

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Solution

The third proportional to 33,835.50 and 43,654.50 is: 56,322.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,835.50 : 43,654.50 = 43,654.50 : x
  2. Step 2: Convert to fraction form
    33,835.50/43,654.50 = 43,654.50/x
  3. Step 3: Cross multiply
    33,835.50x = 43,654.50 × 43,654.50
  4. Step 4: Simplify right side
    33,835.50x = 1,905,715,370.25
  5. Step 5: Solve for x
    x = 1,905,715,370.25/33,835.50
  6. Step 6: Final answer
    x = 56,322.96

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These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.