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Finding the Third Proportional to 5,489.44 and 12,072.38

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Solution

The third proportional to 5,489.44 and 12,072.38 is: 26,549.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.44 : 12,072.38 = 12,072.38 : x
  2. Step 2: Convert to fraction form
    5,489.44/12,072.38 = 12,072.38/x
  3. Step 3: Cross multiply
    5,489.44x = 12,072.38 × 12,072.38
  4. Step 4: Simplify right side
    5,489.44x = 145,742,238.14
  5. Step 5: Solve for x
    x = 145,742,238.14/5,489.44
  6. Step 6: Final answer
    x = 26,549.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.