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Finding the Third Proportional to 22,086 and 33,790.50

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Solution

The third proportional to 22,086 and 33,790.50 is: 51,697.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,086 : 33,790.50 = 33,790.50 : x
  2. Step 2: Convert to fraction form
    22,086/33,790.50 = 33,790.50/x
  3. Step 3: Cross multiply
    22,086x = 33,790.50 × 33,790.50
  4. Step 4: Simplify right side
    22,086x = 1,141,797,890.25
  5. Step 5: Solve for x
    x = 1,141,797,890.25/22,086
  6. Step 6: Final answer
    x = 51,697.81

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.