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Finding the Third Proportional to 5,489.44 and 12,206.95

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Solution

The third proportional to 5,489.44 and 12,206.95 is: 27,144.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.44 : 12,206.95 = 12,206.95 : x
  2. Step 2: Convert to fraction form
    5,489.44/12,206.95 = 12,206.95/x
  3. Step 3: Cross multiply
    5,489.44x = 12,206.95 × 12,206.95
  4. Step 4: Simplify right side
    5,489.44x = 149,009,704.60
  5. Step 5: Solve for x
    x = 149,009,704.60/5,489.44
  6. Step 6: Final answer
    x = 27,144.80

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.