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Finding the Third Proportional to 5,406.75 and 11,496.09

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Solution

The third proportional to 5,406.75 and 11,496.09 is: 24,443.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.75 : 11,496.09 = 11,496.09 : x
  2. Step 2: Convert to fraction form
    5,406.75/11,496.09 = 11,496.09/x
  3. Step 3: Cross multiply
    5,406.75x = 11,496.09 × 11,496.09
  4. Step 4: Simplify right side
    5,406.75x = 132,160,171.51
  5. Step 5: Solve for x
    x = 132,160,171.51/5,406.75
  6. Step 6: Final answer
    x = 24,443.55

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.