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Finding the Third Proportional to 3,412.13 and 9,188.44

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Solution

The third proportional to 3,412.13 and 9,188.44 is: 24,743.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.13 : 9,188.44 = 9,188.44 : x
  2. Step 2: Convert to fraction form
    3,412.13/9,188.44 = 9,188.44/x
  3. Step 3: Cross multiply
    3,412.13x = 9,188.44 × 9,188.44
  4. Step 4: Simplify right side
    3,412.13x = 84,427,383.69
  5. Step 5: Solve for x
    x = 84,427,383.69/3,412.13
  6. Step 6: Final answer
    x = 24,743.34

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.